convert the mixed number 145/7 to mixed decimal. round to the nearest hundredth

145/7 = 20 5/7

The 5/7 part of that equals 0.714..
The decimal answer is 20.71, rounded the way they asked.

Convert the fraction to a decimal. Round to the nearest thousandth.

15
1
9

To convert the mixed number 145/7 to a mixed decimal rounded to the nearest hundredth, follow these steps:

Step 1: Divide the numerator (145) by the denominator (7).

145 ÷ 7 = 20.7142857...

Step 2: Determine the whole number part of the mixed decimal. In this case, the quotient is 20, so the whole number part is 20.

Step 3: Subtract the whole number part multiplied by the denominator from the numerator.

145 - (20 × 7) = 145 - 140 = 5

Step 4: Write down the fraction with the numerator obtained in the previous step and the original denominator.

5/7

Step 5: Convert the fraction to decimal by dividing the numerator by the denominator.

5 ÷ 7 = 0.7142857...

Step 6: Round the decimal to the nearest hundredth. In this case, we round to two decimal places.

0.71

Step 7: Combine the whole number and the rounded decimal to get the mixed decimal.

20.71

Therefore, the mixed number 145/7 is approximately equal to 20.71.