Last updated on May 29th, 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, 7.59375, we are going to learn how to convert a decimal to a fraction.
The answer for 7.59375 as a fraction will be 487/64.
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, 7.59375 is the number on the numerator and the base number 1 will be the denominator. Then, 7.59375 becomes 7.59375/1.
Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 100000 (because there are 5 decimal places).
7.59375/1 × 100000/100000
= 759375/100000
Step 3: Here 15625 is the GCD of 759375 and 100000. Now, to make the fraction simpler, divide the numerator and denominator by 15625.
759375/100000 = 487/64
Hence, 7.59375 is in the form fraction of 487/64 Thus, 7.59375 can be written as a fraction 487/64.
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 two or more numbers without leaving a remainder.