Question

How do you determine 1 and 2/5 - 6/10 =

Answer 1

`(4)/(5)`.

Explanation:

1. Write the expression.

`1+(2)/(5) -(6)/(10)`

2. Rewrite the fractions with a common denominator.

A common denominator is just a number that can be used as a denominator all fractions when we convert them through multiplications. A common denominator is usually found just by multiplying all denominators of all fractions. In this case, we don't need to go that far, since 5 could be a common denominator.This is how you do it:

`1=(1)/(1) *(5)/(5)=(5)/(5) \\ \\(2)/(5)= (2)/(5)\\\\(6)/(10) =(6/2)/(10/2)=(3)/(5)`

3. Take all the rewritten fractions and rewrite the operation.
`(5)/(5) +(2)/(5) -(3)/(5)`

4. Solve.

`(5)/(5) +(2)/(5) -(3)/(5) =(5+2-3)/(5) =(4)/(5)`

5. Express your result.

`1+(2)/(5) -(6)/(10)=(4)/(5)`.