**Fraction – Addition and subtraction | Class 7 Maths Worksheet**

This worksheet is for class seventh Maths, comprising the topic of** addition and subtraction of fractions**. It will help students to have a better understanding of fractions in general.

After solving the worksheet, students will have a better understanding of the addition and subtraction of fractions. They will be able to develop the following points:

- What is a fraction?
- What are the types of fractions?
- What are proper fractions?
- What are improper fractions?
- What are mixed fractions?
- How to add a proper fraction?
- How to add an improper fraction?
- How to add a mixed fraction?

**What is a fraction?**

A fraction is a portion of a whole or, more broadly, a set of equal pieces. In ordinary English, a fraction denotes the number of pieces of a specific size, such as two-forth, one-sixth etc.

When a number or a decimal number or an integer is expressed in the form of p/q, where we call p the numerator and q the denominator, then it is said to be a fraction.

**What are the types of fractions?**

There are three types of fractions:

- Proper fraction
- Improper fractions
- Mixed fractions

**What is a proper fraction?**

If a fraction is written in the form of p/q, where we call p the numerator and q the denominator. If the numerator, that is p, is smaller than the denominator, that is q, then it is called a proper fraction.

For example, ⅙ is a proper fraction because the numerator, that is 1, is greater than the denominator, which is 6.

**What is an improper fraction?**

If a fraction is written in the form of p/q, where we call p the numerator and q the denominator. If the numerator, that is p, is greater than the denominator, that is q, then it is called a proper fraction.

For example, 7/3 is an improper fraction because the numerator, that is 7, is greater than the denominator, which is 3.

**What is a mixed fraction?**

An improper fraction is represented as the sum of a whole number and a proper fraction is known as a mixed fraction. It is represented in the form of a(b/c). Where a is the whole number, b is the numerator of the proper fraction, c is the denominator of the proper fraction.

**How do we add/ subtract proper or improper fractions?**

To add/subtract proper or improper fractions with the same denominator, say a, we just simply have to add/subtract the numerators, say their sum/difference is y and then write it in the fraction from where the numerator is y and denominator is a.

For example, ⅙ + 2/6 = (1+2)/6 = 3/6

To add/subtract proper or improper fractions with different denominators, we first need to find the LCM of the denominators, say x, and then multiply a number to each denominator to make them equal to x. The number that you multiply with the denominator, must be multiplied by the numerator too, to keep the fraction the same.

For example, ⅙ + ⅔

LCM of 6 and 3 is 6.

In order to make the denominators the same, we will multiple the fraction ⅔ with 2 and similarly to keep the fraction the same, we will multiply the numerator with 2.

(2×2)/ (3×2) = 4/6

Thus now the equation becomes, ⅙ + 4/6

Now we just need to add them just like we add two fractions with equal denominators.

⅙ + 4/6 = (1+4)/6 = ⅚

**How do we add/subtract mixed fractions?**

To add/subtract two mixed fractions we just need to convert the mixed fraction into improper fractions and then make the denominator the same and add/subtract them together.

For example

2(1/2) + 3(1/2) = 5/2 + 7/2 = 12/2 = 6

**Fraction Addition and subtraction worksheet**

**I. Solve the following problems:**

- ⅓ + 2/6
- 5/2 – ⅔
- ⅕ + 4/2
- 4/2 – ¾
- 3/1 – 4/2
- 7/2 – ¾
- 33/2 – 42/5
- 11/2 + 91/7
- 2(2/4) + 3(1/2)
- 3(2/6) + 4(2/7)

**Download Printable Addition and Subtraction of Fraction Worksheet for grade 7**

**ANSWERS**

I.

- ⅔
- 11/6
- 11/5
- 5/4
- 1
- 11/4
- 81/10
- 37/2
- 6
- 160/21

**Related grade 7 maths**

Algebraic Expression and Practical geometry- worksheet for class 7 maths

Comparing quantities Maths Worksheet Class 7

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