Question

Use rounding to estimate the product

Question: 4 3/4 * 7 2/17

A. About 28

B. About 32

C. About 35

D. About 40

Answer 1

The estimate of the product is about 35 answer C

Explanation:

- We use rounding to estimate the product of two fractions

- The mixed number has whole number and fraction

- To round the mixed number we look to the fraction

- If the numerator is half or greater than half the denominator, then we

add the whole number by 1 and cancel the fraction

- If the numerator is less than half the denominator, then we keep the

whole number as it and cancel the fraction

- Ex: If the mixed number is
`2(3)/(4)`, 3 is more than

half 4 then we will add 2 by 1 and cancel the fraction part, the

mixed number
`2(3)/(4)` after rounding is 3

- Ex: If the mixed number is
`5(1)/(4)`, 1 is less than

half 4 then we will keep 5 as it and cancel the fraction part, the

mixed number
`5(1)/(4)` after rounding is 5

* Lets solve the problem

∵ In the part
`4(3)/(4)` 3 is more than half 4

∴ The rounding value of
`4(3)/(4)` is 5

∵ In the part
`7(2)/(17)` 2 is less than half 17

∴ The rounding value of
`7(2)/(17)` is 7

∴
`4(3)/(4)*7(2)/(17)=5*7=35`

* The estimate of the product is about 35