42.625 as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types, and fractions are one of these. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals indicate the fractional part of numbers. For example, 1/2 is a fraction, while decimals are expressed with a decimal point (.). In this case, 42.625 will be converted from a decimal to a fraction.

What is 42.625 as a Fraction?

$42.625 as a fraction$

Answer

The answer for 42.625 as a fraction is 341/8.

Explanation

Converting a decimal to a fraction is a straightforward task. You can follow the steps below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 42.625 is the number on the numerator and the base number 1 will be the denominator. Then, 42.625 becomes 42.625/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 42.625/1 × 1000/1000 = 42625/1000

Step 3: Find the GCD of 42625 and 1000. Here, the GCD is 125. To simplify the fraction, divide the numerator and the denominator by 125. 42625/1000 = 341/8

Thus, 42.625 can be written as a fraction 341/8.

Important Glossaries for 42.625 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 two or more integers without a remainder.