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
A tin contains 28 L of oil, 2/7 th is used on Monday, 3/10th of remaining is used on Tuesday. What fraction of oil is left in tin?
A. 1/2
B. 3/4
C. 2/3
D. 1/4
Question 2
0.5 of the children like science, 1 /5 th of the remaining children like Social.5 children like Maths and 3 children like English. How many children like social?
A. 5
B. 2
C. 4
D. 6
Question 3
Ramu earns ₹15000 a month. He spends 1/5th of his income on rent. 1/3rd of remaining on food and 1/4 th of remaining on other expenses. What is his saving?
A. ₹6000
B. ₹8000
C. ₹4000
D. ₹7000
Question 4
In a class , 2/6 th of the students are girls. If 1/3 rd of the girls and 2/3 rd of boys are absent,then what part of the total number of students is present?
A. 4/9
B. 12/17
C. 14/20
D. 11/30
Question 5
Which of the following fraction will be terminating means will have remainder equal to 0?