How to convert a decimal fraction to a common or mixed fraction
In order to convert a decimal fraction to an ordinary fraction, you must:
- Write a fraction as a decimal1
- Multiply the numerator and denominator by 10 until the numerator becomes a whole number.
- Find the greatest common divisor and reduce the fraction.
For example, let's convert 0.36 to a common fraction:
- We write the fraction in the form: 0.361
- Multiply by 10 twice, we get 36100
- Reducing the fraction 36100 = 925
Adding Fractions
The algorithm for adding two fractions is as follows:
- Convert mixed fractions to ordinary fractions (get rid of the whole part).
- Reduce fractions to a common denominator. To do this, you need to multiply the numerator and denominator of the first fraction by the denominator of the second fraction, and multiply the numerator and denominator of the second fraction by the denominator of the first fraction.
- Perform addition of fractions by adding their numerators.
- Find the greatest common divisor (GCD) of the numerator and denominator and reduce the fraction by dividing the numerator and denominator by GCD.
- If the numerator of the final fraction is greater than the denominator, then select the whole part.
How are shares in an apartment calculated?
Before you start calculating shares, you need to establish the total area of the living space - in square meters.
Based on this indicator, apartments can be divided into parts in proportion to the number of co-owners. What conditions affect the calculation:
- Number of co-sharers - the more applicants for a share in the apartment, the smaller the size of square meters for each of them.
- Joint property is not divided into parts at all, because belongs to two or more people on a common basis.
- According to paragraph 1 of Art. 245 of the Civil Code of the Russian Federation, shares are considered equal by default - the balance can be changed with the help of an agreement.
- Separation from shared ownership is allowed - through allotment in kind, i.e. creation of a separate room with a separate entrance, communications, etc.
- A one-room apartment is divided into shares, but they cannot be presented in the form of separate living rooms - the layout does not allow it.
- Co-owners can establish both equal and unequal shares - in accordance with their preferences.
- If the footage of the room does not correspond to the declared share, the co-owner pays or receives compensation from other owners.
Let's look at some features of calculating shares in an apartment.
From the general share or residential?
Usually the calculation is not related to the living area, but to the total area of the living space. However, you need to know the differences:
Residential share - presented in the form of a separate room (for example, one of the owners of a 2-room apartment has a bedroom of 15 m²).
Common is a part of housing, consisting of residential and non-residential space, which belongs to a person.
The first step is to find out the total share of a particular owner. Then imagine it as a living space - a room. Common square meters are represented by a corridor, pantry, bathroom, toilet, balcony - the objects are divided equally between all co-owners.
Agreement on determining shares
Family or friendly ties between owners can help with calculating shares in an apartment. The owners enter into an agreement to determine the size of shares - read about what it is and how to draw it up in our article.
The agreement assumes a peaceful solution to the issue. It is not at all necessary to follow the principle of equality - you can set arbitrary fractions depending on people's needs. One will get a spacious hall, another will get a bedroom, and the third will have a living room with a balcony. In a word, an agreement is possible and even necessary. Otherwise, litigation cannot be avoided.
If the apartment is communal
A special procedure for using a communal apartment is housing with isolated rooms and a common space. Non-residential premises in the form of a kitchen, corridor and bathroom are used by all residents, and specific rooms are used in strict accordance with the allocated share in common law (Article 42 of the Housing Code of the Russian Federation).
The family owns one, two, three or more rooms. Owners can dispose of such living space without regard to the opinions of other residents of the communal apartment.
The calculation of the share is related to the determination of square meters of isolated premises + part of the common property of the apartment (non-residential premises).
If maternity capital was used
Redemption of a share in an apartment for maternity capital involves the allocation of percentage amounts to children and husband. The size of future shares will have to be calculated in advance or within 6 months after the purchase and sale of housing. Read more in the article “Allocating a share to children when using maternal capital.”
Spouses can enter into an agreement and calculate the shares at their own discretion. For example, keep ⅔ for yourself, and allocate ⅓ of the fraction for your children. Calculations are related to the minimum living space per person. However, this approach is not always appropriate - if the purchased part is small, then it will not be possible to comply with the requirements.
Subtracting Fractions
Algorithm for subtracting two fractions:
- Convert mixed fractions to ordinary fractions (get rid of the whole part).
- Reduce fractions to a common denominator. To do this, you need to multiply the numerator and denominator of the first fraction by the denominator of the second fraction, and multiply the numerator and denominator of the second fraction by the denominator of the first fraction.
- Subtract one fraction from another by subtracting the numerator of the second fraction from the numerator of the first.
- Find the greatest common divisor (GCD) of the numerator and denominator and reduce the fraction by dividing the numerator and denominator by GCD.
- If the numerator of the final fraction is greater than the denominator, then select the whole part.
Online calculator for equations with fractions
Fractions in mathematics
is a number representing a part of a unit or several parts of it.
A common fraction is written as two numbers, usually separated by a horizontal line indicating the division sign. The number above the line is called the numerator. The number below the line is called the denominator. The denominator of a fraction shows the number of equal parts into which the whole is divided, and the numerator of the fraction shows the number of these parts of the whole taken.
Fractions can be regular or improper.
- A fraction whose numerator is less than its denominator is called a proper fraction.
- An improper fraction is when the numerator of a fraction is greater than the denominator.
A mixed fraction is a fraction written as an integer and a proper fraction, and is understood as the sum of this number and the fractional part. Accordingly, a fraction that does not have an integer part is called a simple fraction. Any mixed fraction can be converted to an improper fraction.
Division of fractions
Algorithm for dividing two fractions:
- Convert mixed fractions to ordinary fractions (get rid of the whole part).
- To divide fractions, you need to transform the second fraction by swapping its numerator and denominator, and then multiply the fractions.
- Multiply the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second.
- Find the greatest common divisor (GCD) of the numerator and denominator and reduce the fraction by dividing the numerator and denominator by GCD.
- If the numerator of the final fraction is greater than the denominator, then select the whole part.
How to calculate shares in a house
How to calculate the share in an apartment, what to do with utilities if maternity capital was used. Share tax calculation. and expert explanations.
Calculation of shares in an apartment: how and why to calculate, from the total or living area? Equal and unequal parts in the apartment, agreement, allocation of shares for maternity capital.
How to calculate shares in an apartment: formulas, fractions, online calculator, examples. How to find out the tax rate on a share: calculation as a percentage
Division of apartment by shares
The division in this case involves the allocation of an isolated room for one or several owners with the right to a common living area, for example, in a multi-room apartment, one of the residents is allocated a room. But there is also common joint property: bathroom, kitchen, hallway.
You can divide the apartment by agreement between all owners, for example, assign a certain room to each, while the other area will remain in common ownership.
In this case, you should write an application to the registration authorities, indicate your consent to certain shares, and then a certificate will be issued confirming ownership of a certain room in the apartment.
But if an agreement has not been reached, and there is a desire to own a certain premises, but not a share in the right of common ownership, then this can only be resolved in court.
The court will consider all the circumstances of the case, and if it is possible to allocate a separate premises, it is likely that it will make a decision on this.
It is impossible to divide a one-room apartment into separate rooms, and that is why it can only be divided according to shares in the right of common ownership, since it is impossible to allocate a room in it that will have a separate entrance.
Expert opinionRoman EfremovExperience 5 years. Specialization: all areas of jurisprudence.
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To calculate the share, we use the following data for a two-room apartment:
- total area - 100 sq. m.;
- The living area of the rooms, each of which belongs to different owners, is 30 and 40 sq. m. m.;
- area of common areas - 30 sq. m.
For rooms, the share percentage will be: 30/100 and 40/100 shares. Since the area of common areas must be divided on equal terms between each owner, 15/100 must be added to the indicated values.
Thus, the final share for each shareholder will be:
30/100+15/100=45/100
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40/100+15/100=55/100.
It is in this ratio that the right of common shared ownership will be registered when concluding an agreement between the parties.
How to calculate the cost of a share in an apartment
Real estate has a price depending on the area, house, living conditions, climate, infrastructure and other factors. There is a distinction between market and cadastral valuation of housing - recently the cadastral price has been taken as the basis.
If we are talking about a share of housing, the share also has a value. The owner can sell it, exchange it, pledge it, allocate it in kind, or leave it as an inheritance. Calculations for the share are based on the total price of the apartment.
Example:
The cost of a 3-room apartment is 8,000,000 rubles. Utkin, Gusev and Soloviev want to calculate the value of their shares in the common right to housing.
Let's assume that the parts are equal, which means one co-owner has ⅓:
Formula: 8,000,000 / 3 = 2,666,666 rubles - the share of Utkin, Gusev or Solovyov.
If the shares are not equal, the calculation is related to the percentage:
Utkin owns ⅔ of the apartment, which means we multiply 8,000,000 by ⅔ = 5,333,333 rubles;
Solovyov and Gusev between them got ⅓ of the housing, or 1/6 for each. This means that the price of the share of each of them is 8,000,000, multiplied by 1/6 = 1,333,333 rubles.
