Last updated on May 26th, 2025
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, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 0.775, we are going to learn how to convert a decimal to a fraction.
Answer The answer for 0.775 as a fraction will be 31/40. 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, 0.775 is the number on the numerator and the base number 1 will be the denominator. Then, 0.775 becomes 0.775/1. Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.775/1 × 1000/1000 = 775/1000 Step 3: Here 25 is the GCD of 775 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 775/1000 = 31/40 hence, 0.775 is in the form fraction of 31/40 Thus, 0.775 can be written as a fraction 31/40.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Greatest Common Divisor (GCD): The largest number that divides both the numerator and the denominator without leaving a remainder.