>Hello Sohib EditorOnline! If you are here, it means that you want to learn how to perform subtraction of fractions. Don’t worry, we got you covered! In this article, we will explain step-by-step how to subtract fractions, provide examples, and answer frequently asked questions. Are you ready to become a pro in subtracting fractions?

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## What are fractions?

Fractions are numbers that represent parts of a whole. They consist of a numerator, which is the number on top, and a denominator, which is the number on the bottom. The denominator represents the total number of parts that the whole is divided into, and the numerator represents how many parts we are talking about.

### Example:

Numerator | Denominator | Fraction |
---|---|---|

1 | 2 | 1/2 |

3 | 4 | 3/4 |

5 | 8 | 5/8 |

## Subtracting fractions with the same denominator

When subtracting fractions with the same denominator, we simply subtract the numerators and keep the same denominator.

### Example:

Let’s subtract 2/5 from 3/5.

First, we subtract the numerators: 3 – 2 = 1.

Then, we keep the denominator the same: 5.

Therefore, 3/5 – 2/5 = 1/5.

## Subtracting fractions with different denominators

When subtracting fractions with different denominators, we need to find a common denominator before subtracting the numerators. This common denominator is the lowest common multiple of both denominators.

### Example:

Let’s subtract 1/4 from 2/5.

First, we need to find a common denominator. The multiples of 4 are: 4, 8, 12, 16… The multiples of 5 are: 5, 10, 15, 20…

The lowest common multiple of 4 and 5 is 20.

Then, we need to convert both fractions to have a denominator of 20.

2/5 = 8/20 (multiplied numerator and denominator by 4) and 1/4 = 5/20 (multiplied numerator and denominator by 5).

Now we can subtract: 8/20 – 5/20 = 3/20.

Therefore, 2/5 – 1/4 = 3/20.

## Subtracting mixed numbers

When subtracting mixed numbers, we first convert them into improper fractions, then we subtract them as usual.

### Example:

Let’s subtract 1 and 1/3 from 2 and 1/6.

To convert 1 and 1/3 into an improper fraction, we multiply the whole number by the denominator and add the numerator: 1 x 3 + 1 = 4. Therefore, 1 and 1/3 = 4/3.

To convert 2 and 1/6 into an improper fraction, we multiply the whole number by the denominator and add the numerator: 2 x 6 + 1 = 13. Therefore, 2 and 1/6 = 13/6.

Now we can subtract: 13/6 – 4/3.

First, we need to find a common denominator. The multiples of 3 are: 3, 6, 9, 12… The multiples of 6 are: 6, 12, 18, 24…

The lowest common multiple of 3 and 6 is 6.

To convert 13/6 into a fraction with a denominator of 6, we multiply the numerator and denominator by 2: 13/6 = 26/12.

To convert 4/3 into a fraction with a denominator of 6, we multiply the numerator and denominator by 2: 4/3 = 8/6.

Now we can subtract: 26/12 – 8/6 = (26 – 16) / 12 = 10/12 = 5/6.

Therefore, 2 and 1/6 – 1 and 1/3 = 5/6.

## FAQ

### 1. What is the difference between a fraction and a decimal?

A fraction is a number that represents a part of a whole, while a decimal is a number that represents a part of a whole in base 10. Fractions are commonly used in math, while decimals are commonly used in finance and measurements.

### 2. Can you subtract fractions with different denominators without finding a common denominator?

No, you cannot subtract fractions with different denominators without finding a common denominator.

### 3. Can you subtract fractions with negative numbers?

Yes, you can subtract fractions with negative numbers. The rules for subtracting remain the same.

### 4. Can you subtract mixed numbers without converting them into improper fractions?

No, you cannot subtract mixed numbers without converting them into improper fractions first.

### 5. Can you simplify the result of a subtraction of fractions?

Yes, you can simplify the result of a subtraction of fractions if the numerator and the denominator have a common factor.

That’s it for our article on how to subtract fractions. We hope you found it helpful and informative. Remember to practice, and you’ll become a pro in no time!