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.
Fractions and Decimals Sample Questions for Class 7
Question 1
What should be added to 23.567 to get 30.234?
A. 7.823
B. 6.667
C. 5.892
D. 7.453
Question 2
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 3
How many pieces of plywood , each of 0.65 cm thick will be required to make pile of 3.38 m high?
A. 486
B. 565
C. 520
D. 480
Question 4
The value of :
(23.45 - 35.25/ 23.45 + 35.25) ÷ ( 234.5 -352.5/234.5 + 352.5) = ?
A. 1
B. 10²
C. 10
D. 0.1
Question 5
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