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

Respuesta :

Answer:

The estimate of the product is about 35 answer C

Step-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

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