Question

Write -54.0625 as a mixed number ​

Answer 1

-54 1/16

Explanation:

1/2 = 0.5

Divide by 2

1/4 = 0.25

Divide by 2

1/8 = 0.125

Divide by 2

1/16 = 0.625

Answer 2

`-54(1)/(16)`

Explanation:

When converting a decimal to a mixed number, we first need to separate the largest whole number from the fraction of a whole.

whole → -54

fraction → -0.0625

We can show any decimal that goes as far as a "power of 10-dths" place as the number to the right of the decimal point to that place over that place's power of 10.

For example, 0.25 goes as far right as the hundredths place. Therefore, we can put 25 in a fraction over 100 to represent the same value:

`0.25 = (25)/(100)\\\\\text{ } \ \ \ \: \: =(1)/(4)`

Applying this to the problem at hand:

`-0.0625 = -(625)/(10,000)`

But this time, we can simplify the fraction by dividing the numerator and denominator by 625.

`-(625)/(10,000) / (625)/(625) = -(1)/(16)`

Finally, we can put this fraction next to the whole number to create a mixed number.

`\boxed{-54(1)/(16)}`