56.4 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, always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents 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, 56.4. We are going to learn how to convert a decimal to a fraction.

What is 56.4 as a Fraction?

$56.4 as a fraction$

Answer

The answer for 56.4 as a fraction will be 282/5.

Explanation

Converting a decimal to a fraction is an easy task that students can accomplish by following these steps:

Step 1: Any decimal number should first be converted to a fraction for easy calculation. Here, 56.4 is the number with 1 as the denominator. Thus, 56.4 becomes 56.4/1.

Step 2: To eliminate the decimal, multiply both the numerator and the denominator by 10 (since there is only 1 decimal place). 56.4/1 × 10/10 = 564/10

Step 3: The greatest common divisor (GCD) of 564 and 10 is 2. To simplify the fraction, divide both the numerator and the denominator by 2. 564/10 = 282/5

Thus, 56.4 can be written as a fraction 282/5.

Important Glossaries for 56.4 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 each of the numbers without a remainder.