-10 4/7 - (-3)- 10 (4)/(7) ( - 3)

Question

-10 4/7 - (-3)
`- 10 (4)/(7) ( - 3)`

Answer 1

The following expression:

`-10(4)/(7)-(-3)`

Can be rewritten using some notation for mixed fractions. Remember that:

`-10(4)/(7)=-10-(4)/(7)`

Then:

`-10(4)/(7)-(-3)=-10-(4)/(7)-(-3)`

Use the commutative property of the sum to bring together the integer part of the expression:

`-10-(4)/(7)-(-3)=-10-(-3)-(4)/(7)`

Notice that -(-3) = +3, then:

`-10-(-3)-(4)/(7)=-10+3-(4)/(7)`

Add the integers:

`-10+3-(4)/(7)=-7-(4)/(7)`

Rewrite the number as a mixed fraction:

`-7-(4)/(7)=-7(4)/(7)`

Therefore:

`-10(4)/(7)-(-3)=-7(4)/(7)`