What is 0.375 as a Fraction?

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, ½, the numbers in decimal are expressed with a decimal point (.), For example, 0.375, we are going to learn how to convert a decimal to a fraction.

Answer :

In the process of converting a decimal number into a fraction number, you need to follow certain steps -

Express the decimal number 0.375 as a fraction by dividing it by 1.

0.375 / 1

Multiply the numerator and denominator by 1000 to remove the decimal point (because 0.375 has three decimal places)

0.375 / 1 x 1000 / 1000 = 375 / 1000

To make the fraction into simple form, divide both 375 and 1000 by their Greatest Common Divisor, that is 125.

375 / 1000 ÷ 125 /125 = 3 / 8

Therefore, 0.375 can be written as a fraction 3/8.

Explanation:

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to fraction for easy calculation. Here, 0.375 is the number on the numerator and the base number 1 will be the denominator. Then, 0.375 becomes 0.375/1.

Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator 1000 (because there are only 3 decimal places).

0.375/1 × 1000/1000 = 375/1000

Step 3: Here 125 is the GCD of 375 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 125.

375/1000 = 3/8

hence, 0.375 is in the form fraction of 3/8

Thus, 0.375 can be written as a fraction 3/8.