Question

Evaluate ab for a =2 3/4 and b = 4/5

Answer 1

Answer:

11/5

Step-by-step explanation:

2 3/4 = 11/4 as a mixed number

a x b = 11             4

          -----   x     -----

            4             5

fours cancel out

11/5 is your final answer :D

Answer 2

First convert the mixed number to the improper fraction:

$2\dfrac{3}{4}=\dfrac{2\cdot4+3}{4}=\dfrac{11}{4}$

Make the product:

$a=2\dfrac{3}{4};\ b=\dfrac{4}{5}\\\\ab=2\dfrac{3}{4}\cdot\dfrac{4}{5}=\dfrac{11}{4}\cdot\dfrac{4}{5}$

canceled 4

$=\dfrac{11}{\not4_1}\cdot\dfrac{\not4^1}{5}=\dfrac{11}{1}\cdot\dfrac{1}{5}=\dfrac{11}{5}=\dfrac{10+1}{5}=2\dfrac{1}{5}$