Question

3 3/4÷3/4 is equal to
(a) 3 (b) 5 (c) 4 (d) 45/16

Answer 1

(b) 5

$3\dfrac{3}{4}\div\dfrac{3}{4}$ is equal to 5.

Given data:

Two numbers $3\dfrac{3}{4}$ and $\dfrac{3}{4}$

To find:

The value of $3\dfrac{3}{4}\div\dfrac{3}{4}$

Concept to be used:

Before we solve the problem, we must know that

$\boxed{\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}}$

Also, $\boxed{a\dfrac{b}{c}=\dfrac{a\times c+b}{c}}$

Step-by-step explanation:

Let us change the mixed fraction $3\dfrac{3}{4}$ into an improper fraction,

$3\dfrac{3}{4}=\dfrac{3\times 4+3}{4}=\dfrac{12+3}{4}=\dfrac{15}{4}$

Now, $3\dfrac{3}{4}\div\dfrac{3}{4}$

$=\dfrac{15}{4}\div\dfrac{3}{4}$

$=\dfrac{15}{4}\times\dfrac{4}{3}$

= 5

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