Question

Which two statements are true?

Answer 1

When we multiply a number with a number less than 1 then the result will always smaller than the original number.

For example: 4* 0.5 =2

Here 0.5 is less than 1. So, when we will multiply 0.5 with 4 then we got the result 2 which is smaller than 4.

If denominator is bigger than the numerator then that number will be less than 1.

So, 2/7 is less than 1 because 7 is more than 2.

Similarly 3/8 is also less than 1.

So, Choice B is not correct as it says 2/7>1.

Let's check the other choices now.

A. 2/7 times 3/8 < 3/8 because 2/7 < 1

$\frac{2}{7} *\frac{3}{8}$

Multiply the numerators and denominators.

$\frac{2*3}{7*8}$

$\frac{6}{56}$

0.1<0.375

Above inequality satisfy.

So, A is the correct choice.

C. 2/7 times 3/8< 2/7 because 3/8 < 1

0.1<0.286

This inequality also satisfy. So, C is also correct.