21.75 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 21.75. We are going to learn how to convert a decimal to a fraction.

What is 21.75 as a Fraction?

$21.75 as a fraction$

Answer

The answer for 21.75 as a fraction will be 87/4.

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 a fraction for easy calculation. Here, 21.75 is the number on the numerator and the base number 1 will be the denominator. Then, 21.75 becomes 21.75/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100 (because there are only 2 decimal places). 21.75/1 × 100/100 = 2175/100

Step 3: Here 25 is the GCD of 2175 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 25. 2175/100 = 87/4 Hence, 21.75 is in the form fraction of 87/4.

Thus, 21.75 can be written as a fraction 87/4.

Important Glossaries for 21.75 as a Fraction

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 positive integer that divides two or more numbers without leaving a remainder.