Question

What is 4/5 x 5/6 then simplified?

Answer 1

2/3

Step-by-step explanation

When we have a multiplication of fractions such as this,

`(4)/(5)*(5)/(6)`

We can simplify the numerators and denominators before solving the product. In this case, since 5 is in the denominator of the first fraction and also in the numerator of the second fraction, it cancels out,

`(4)/(5)*(5)/(6)=(4)/(6)`

But note that 4 and 6 are both even numbers - i.e. they are divisible by 2, so by dividing both the numerator and the denominator by 2, we will get the simplified answer,

`((4)/(2))/((6)/(2))=(2)/(3)`

Hence, the product is 2/3.