Question

$\frac{315}{750} \times 100 =$

Answer 1

Answer:

The answer is, $\dfrac{315}{750}\times 100 = 42$

Step-by-step explanation:

We have given the fraction

$\dfrac{315}{750}$

We shall first simplify the given fraction. Note that 5 is a common factor for numerator and denominator. Thus

$\dfrac{315}{750}=\dfrac{5\times 63}{5\times 150} =\dfrac{63}{150}$

Again 3 is a common factor to 63 and 150.

$\dfrac{63}{150} =\dfrac{3\times 21}{3\times 50}=\dfrac{21}{50}$

Now we can multiply the fraction by 100.

$\dfrac{315}{750}\times 100 =\dfrac{21}{50}\times 100 =\dfrac{21\times 100}{50}=$

We know, 100÷ 50 =2

So we have

$\dfrac{21\times 100}{50}= 21\times 2 =42$

So the answer is

$\dfrac{315}{750}\times 100 = 42$