0.152 As A Reduced Fraction

2 min read Jul 06, 2024
0.152 As A Reduced Fraction

0.152 as a Reduced Fraction

What is 0.152 as a Fraction?

The decimal number 0.152 can be written as a fraction in its simplest form. To do this, we need to find the equivalent fraction for the given decimal.

Calculating the Fraction

To convert 0.152 to a fraction, we can multiply and divide the number by 1000 (since there are three decimal places):

$\frac{0.152}{1} = \frac{0.152 \times 1000}{1 \times 1000} = \frac{152}{1000}$

Simplifying the Fraction

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 152 and 1000 is 8.

$\frac{152}{1000} = \frac{152 \div 8}{1000 \div 8} = \frac{19}{125}$

Result: 0.152 as a Reduced Fraction

Therefore, the decimal number 0.152 can be written as a reduced fraction in its simplest form as:

19/125

This is the equivalent fraction for the given decimal number 0.152.

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