# Which decimal part of 225 is 153

## fractii.ro

There are two cases that concern the denominator when we add ordinary fractions:

- A. The fractions have the same denominator;
- B. The fractions have different denominators.

### A. How do I add ordinary fractions with the same denominator?

- Just add up the fractions' counters.
- The denominator of the resulting fraction will be the common denominator of the fractions.
- Shorten the resulting fraction.

### An example of adding ordinary fractions with the same denominator. Explanations

^{3}/_{18}+^{4}/_{18}+^{5}/_{18}=^{(3 + 4 + 5)}/_{18}=^{12}/_{18};- We just added the numerators of the fractions: 3 + 4 + 5 = 12;
- The denominator of the resulting fraction is: 18;
#### The resulting fraction is shortened as follows:

^{12}/_{18}=^{(12 ÷ 6)}/_{(18 ÷ 6)}=^{2}/_{3}.#### How to shorten the general fraction

^{12}/_{18}?

### B. If you want to add fractions with different denominators, you need to name them the same so that their denominators match. how is it done?

#### 1. Shorten the fractions.

#### 2. Calculate the least common multiple (lcm) of all new denominators of the fractions:

#### 3. Calculate the expansion number for each fraction:

- The expansion number is the non-zero number used to multiply the numerator and denominator of each fraction to bring all of the fractions to the same common denominator.
- Divide the least common multiple (LCM) calculated above by the denominator of each fraction to find the expansion number of each fraction.

#### 4. Expand each fraction:

- Multiply the numerator and denominator of each fraction by its expanded number.
- At this point, fractions are brought to the same denominator.

#### 5. Add the fractions:

- To add all of the fractions, just add all of the fractions' counters.
- The resulting fraction has as its denominator the least common multiple, lcm, which was calculated above.

#### 6. Shorten the resulting fraction until it is completely shortened if necessary.

#### ... read the rest of this article here: How do I add common fractions?

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