Question

SHOW STEPS PLEASE...

Answer 1

9514 1404 393

Answer:

(5 15/20) -(2 8/20) = 3 7/20

Explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

`(3)/(4)= (3)/(4)\cdot(5)/(5)=(3\cdot5)/(4\cdot5)=(15)/(20)`

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

`(2)/(5)=(2\cdot4)/(5\cdot4)=(8)/(20)`

Then the desired difference is ...

`5(15)/(20)-2(8)/(20)=(5-2)+\left((15-8)/(20)\right)=3(7)/(20)`