Converting a Mixed Number to a Terminating Decimal - Advanced

Here, such mixed numbers are converted into terminating decimals that have more number of digits after the decimal point.

Convert $12 \frac{15}{16}$ into a terminating decimal.

Solution

Step 1:

We retain the whole number part of the mixed number and do long division on the fractional part $\frac{15}{16}$, dividing 15 by 16

Step 2:

We find that $\frac{15}{16} = 0.9375$

Step 3:

So, the decimal has a whole number part 12 and a decimal part 0.9375.

Step 4:

So, $12 \frac{15}{16} = 12.9375$

Convert $39 \frac{17}{64}$ into a terminating decimal

Solution

Step 1:

We retain the whole number part of the mixed number 39 and do long division on the fractional part $\frac{17}{64}$, dividing 17 by 64

Step 2:

We find that $\frac{17}{64} = 0.265625$

Step 3:

So, the mixed number as a decimal has a whole number part of 39 and a decimal part 0.265625

Step 4:

So, $39 \frac{17}{64} = 39.265625$