Question

1 1/2 ÷ 1/4 a. 8 b.6 c.7 d.3

Answer 1

We have to do the following operation:

`1(1)/(2)/(1)/(4)`

First, we will convert the mixed number to a fraction. For converting it, we multiply the integer by the denominator, and add it to the numerator. The denominator of the fraction remains the same:

`1(1)/(2)=(1\cdot2+1)/(2)=(3)/(2)`

And now, we operate, remembering that for doing a division of fractions, we multiply the dividend by the inverse of the divisor, thus:

`(3)/(2)/(1)/(4)=(3)/(2)\cdot(4)/(1)=(12)/(2)=6`

This means that the result of the operation is 6.