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 25% as a decimal and as a fraction.
A. 25; 25/100
B. 0.25; 25/100
C. 0.25; 250/100
D. 25; 250/100
Question 2
Frank and Joey ordered a large pizza. Frank ate 30% of the pizza and Joey ate 2/5 of the pizza. What percentage of the pizza did they eat in all?
A. 50%
B. 60%
C. 70%
D. 75%
Question 3
What is the decimal equivalent of 17/100?
A. 0.017
B. 1.7
C. 17.0
D. 0.17
Question 4
Which fraction is equivalent to 3.8?
A. 5/18
B. 19/5
C. 12/15
D. 12/5
Question 5
The senior class spent 20% of its budget on a big box of tomatoes. It then spent one-fourth of the remaining funds on a helium blimp. Finally, it spent 1/3 of the remaining funds on an extra-large helicopter for the prom. What percentage of the original funds were not spent?