Q:

Use rounding to estimate the productQuestion: 4 3/4 * 7 2/17A. About 28B. About 32C. About 35D. About 40

Accepted Solution

A:
Answer:The estimate of the product is about 35 answer CStep-by-step 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 [tex]2\frac{3}{4}[/tex], 3 is more than  half 4 then we will add 2 by 1 and cancel the fraction part, the  mixed number [tex]2\frac{3}{4}[/tex] after rounding is 3- Ex: If the mixed number is [tex]5\frac{1}{4}[/tex], 1 is less than  half 4 then we will keep 5 as it and cancel the fraction part, the  mixed number [tex]5\frac{1}{4}[/tex] after rounding is 5* Lets solve the problem∵ In the part [tex]4\frac{3}{4}[/tex] 3 is more than half 4∴ The rounding value of [tex]4\frac{3}{4}[/tex] is 5∵ In the part [tex]7\frac{2}{17}[/tex] 2 is less than half 17∴ The rounding value of [tex]7\frac{2}{17}[/tex] is 7∴ [tex]4\frac{3}{4}*7\frac{2}{17}=5*7=35[/tex]* The estimate of the product is about 35