Question

Which values of a, b, and c correctly represent the answer in simplest forrn?

Answer 1

Answer:

The equation becomes

$1\frac{7}{19}=a\frac{b}{c}$

Therefore,

• a = 1

• b = 7

• c = 19

Hence, option (C) is true.

Step-by-step explanation:

Given the expression

$3\frac{1}{4}\div 2\frac{3}{8}\:=a\frac{b}{c}$

Solving the L.H.S of the equation

$3\frac{1}{4}\div \:2\frac{3}{8}=\frac{13}{4}\div \:2\frac{3}{8}$

               $=\frac{13}{4}\times \frac{8}{19}$

               $=\frac{13\times \:2}{1\times \:19}$

                $=\frac{26}{1\times \:19}$

                 $=\frac{26}{19}$

Converting improper fraction to a fixed number: $\frac{26}{19}=1\frac{7}{19}$

                 $=1\frac{7}{19}$

Thus, the equation becomes

$1\frac{7}{19}=a\frac{b}{c}$

Therefore,

• a = 1

• b = 7

• c = 19

Hence, option (C) is true.