Question

Write the decimal as a fraction or a mixed number in the lowest terms.-0.954

Answer 1

-477/500

Step-by-step explanation

To convert this decimal number to a fraction, first, we have to write it as a fraction with denominator 1,

`-0.954=(-0.954)/(1)`

Then, multiply both numerator and denominator by 1000 so that the decimal point is moved to obtain a whole number,

`(-0.954\cdot1000)/(1\cdot1000)=-(954)/(1000)`

Then, find the greatest common factor between the numerator and denominator to simplify the fraction. In this case, the GCF is 2,

`-0.954=-(954/2)/(1000/2)=-(477)/(500)`

This fraction cannot be simplified anymore, so it is in the lowest terms.

Hence, the fraction that is equivalent to the given decimal is -477/500.