29.375 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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

What is 29.375 as a Fraction?

$29.375 as a fraction$

Answer

The answer for 29.375 as a fraction will be 117/4.

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, 29.375 is the number on the numerator and the base number 1 will be the denominator. Then, 29.375 becomes 29.375/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 29.375/1 × 1000/1000 = 29375/1000

Step 3: Here 125 is the GCD of 29375 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 29375/1000 = 235/8

Step 4: Since 29.375 is a mixed number, it can also be expressed as 29 + 0.375. The fraction 0.375 = 3/8. Thus, 29 + 3/8 = 117/4.

Thus, 29.375 can be written as a fraction 117/4.

Important Glossaries for 29.375 as a Fraction

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