70.875 as a Fraction

Professor Greenline Explaining Math Concepts

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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, 70.875, we are going to learn how to convert a decimal to a fraction.

What is 70.875 as a Fraction?

$70.875 as a fraction$

Answer

The answer for 70.875 as a fraction will be 70 7/8.

Explanation

Converting a decimal to a fraction can be done easily by following these steps.

Step 1: Firstly, separate the whole number from the decimal. Here, 70 is the whole number, and 0.875 is the decimal part.

Step 2: Convert the decimal 0.875 to a fraction. Since there are three decimal places, multiply both the numerator and denominator by 1000 to remove the decimal point. 0.875/1 × 1000/1000 = 875/1000

Step 3: Find the GCD of 875 and 1000, which is 125. Divide both the numerator and denominator by 125 to simplify. 875/1000 = 7/8

Step 4: Combine the whole number with the simplified fraction. 70 + 7/8 = 70 7/8

Thus, 70.875 can be written as a fraction 70 7/8.

Important Glossaries for 70.875 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.
Mixed Number: A number that consists of a whole number and a fraction.