11.375 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A fraction is one such type, 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; the numbers in decimal form are expressed with a decimal point (.), such as 0.375. We are going to learn how to convert a decimal to a fraction using the example of 11.375.

What is 11.375 as a Fraction?

$11.375 as a fraction$ Answer

The answer for 11.375 as a fraction will be 91/8.

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: Separate the whole number from the decimal part. Here, 11 is the whole number, and 0.375 is the decimal part.

Step 2: Convert the decimal part to a fraction. The number on the numerator is 0.375, and the base number 1 will be the denominator. Thus, 0.375 becomes 0.375/1.

Step 3: To remove the decimal from the fraction, multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.375/1 × 1000/1000 = 375/1000

Step 4: Here, 125 is the GCD of 375 and 1000. Now, to make the fraction simpler, divide the numerator and the denominator by 125. 375/1000 = 3/8

Step 5: Combine the whole number with the fraction.

Thus, 11.375 can be written as 91/8.

Important Glossaries for 11.375 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses 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 consisting of an integer and a proper fraction.