convert the mixed number 14 5/7 to a mixed decimal. round to the nearest hundreth

14.714

Multiply 14 with 7 and add 5
=103/7
= 14.71428571
or =14.714 final answer

To convert a mixed number to a mixed decimal, we can follow these steps:

1. Multiply the whole number by the denominator of the fraction.
14 * 7 = 98

2. Add the result from step 1 to the numerator of the fraction.
98 + 5 = 103

3. Write the sum from step 2 over the original denominator.
103/7

4. Divide the numerator by the denominator.
103 รท 7 = 14.71

5. Round the decimal to the nearest hundredth.
Since the hundredth place is the second decimal place, we look at the digit in the thousandth place (the third decimal place).
In this case, the digit in the thousandth place is 1, which is less than 5, so we do not need to round up.
Therefore, the mixed decimal rounded to the nearest hundredth is 14.71.