0.123 As A Fraction Simplified

2 min read Jul 05, 2024
0.123 As A Fraction Simplified

0.123 as a Fraction Simplified

What is 0.123 as a Fraction?

The decimal number 0.123 can be written as a fraction in its simplest form. To do this, we need to find the equivalent fraction for the given decimal.

Converting 0.123 to a Fraction

To convert 0.123 to a fraction, we can divide the numerator (123) by the denominator (1000), since there are three decimal places in the number.

$\frac{123}{1000}$

Simplifying the Fraction

The fraction $\frac{123}{1000}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 123 and 1000 is 41. Therefore, we can simplify the fraction as follows:

$\frac{123 \div 41}{1000 \div 41} = \frac{3}{25}$

0.123 as a Fraction Simplified

The simplified fraction for 0.123 is:

$\frac{3}{25}$

This is the simplest form of the fraction equivalent to the decimal number 0.123.

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