78.75 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Fractions are one of these types, and they are 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 can be expressed as a decimal with a decimal point (.), such as 0.5. In this case, we are going to learn how to convert 78.75 to a fraction.

78.75 as a Fraction for US Students

What is 78.75 as a Fraction?

$78.75 as a fraction$

Answer

The answer for 78.75 as a fraction is 315/4.

Explanation

Converting a decimal to a fraction is a straightforward task that can be done by following these steps:

Step 1: First, any decimal number should be expressed as a fraction for simplicity. Here, 78.75 is the number with 1 as the denominator. Thus, 78.75 can be expressed as 78.75/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 100 (since there are two decimal places). 78.75/1 × 100/100 = 7875/100

Step 3: Next, find the greatest common divisor (GCD) of 7875 and 100, which is 25, and divide both the numerator and denominator by this number to simplify the fraction. 7875/100 = 315/4

Thus, 78.75 can be written as a fraction 315/4.

Important Glossaries for 78.75 as a Fraction

Fraction: A numerical quantity that consists of a numerator and a denominator, representing parts of a whole.
Decimal: A number that includes a decimal point, separating the whole number from the fractional part.
Numerator: The upper part of a fraction, indicating how many parts are being considered.
Denominator: The lower part of a fraction, showing the total number of equal parts that make up a whole.
Greatest Common Divisor (GCD): The largest positive integer that divides two numbers without leaving a remainder, used to simplify fractions.