Learn Class 7 Math - Fractions and Decimals

The term decimal refers to the number system that helps in expressing the fraction & whole numbers. The number present in the decimal consists of a ‘.’ symbol in it. In comparison, the term fraction refers to a number system always presented in the form of a / b.

When we have to convert the decimal number to a fraction, we have to remove the dot, i.e., 1.5 is a decimal number, and when we convert it into a fraction, it will be 15/10, i.e., 3/2. Or 2.5 is a decimal number, whereas 25/10 is a fraction. And it is equal to 5/2.

Types of Decimals

The different types of decimals are discussed here below:

1. Recurring Decimal Number:

  • These are the decimals that get repeated. Or they are non-terminating decimals.
  • Example: 2.125125 is a finite number. And 2.12121212…. is an infinite number.

2. Decimal fraction:

  • The decimal fraction is a type of fraction that contains the power in ten.
  • Example: 81.65 = 8165/100.

3. Non-recurring Decimal Number:

  • These are the types of decimal numbers that come in the category of non-repeating. Or they are the terminating numbers.
  • Example: 2.3476 is a finite number. And 2.1456 is an infinite number.

Learning Videos for 7th Grade Math - Fractions and Decimals

Fractions and Decimals Sample Questions for Class 7

Question 1

Write 3 1/2% as a decimal.
A. .035
B. 3.5
C. .35
D. .0035

Question 2

Choose the fraction equivalent to the following decimal. .09
A. 9/10
B. 90/10
C. 90/100
D. 9/100

Question 3

Express 6/15 as a percentage.
A. 90%
B. 6%
C. 15%
D. 40%

Question 4

What is 3/5 as a decimal number?
A. 0.35
B. 0.6
C. 0.66
D. 0.75

Question 5

Change the decimal to fraction and simplify fraction to lowest terms..08
A. 2/25
B. 4/24
C. 6/48
D. None of the above