Question

Which is the answer?​

Answer 1

Answer: -13
`(13)/(35)`, the third one down

Explanation:

These are mixed numbers. Each is presented as an integer with an additional fraction part.

For working with these, you pretty much always want to convert to improper fractions.

5-4/7 = (5*7)/7 + 4/7 = 35/7 + 4/7 = 39/7

- (2-2/5) = - [ (2*5)/5 + 2/5 ] = -(10/5 + 2/5) = -12/5

To multiply two fractions, you multiply the numerators to get the result numerator and you you multiply the denominators to get the result denominator.

For the numerator ---> 39(-12) = -468

for the denominator ---> 7(5) = 35

Preliminary result ---> -468/35

If we perform the division (all fractions basically show a division of numerator divided by denominator), we get

-468 ÷ 35 = -13, with a reminder of -13/35

So the answer is -13
`(13)/(35)`, the third one down.

Hope this helps.

Answer 2

The third one, -13 13/35

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Make them a mixed fraction and multiply them. 39/7 × -12/5 = -468/35

Simplify it by dividing.

-468/35 = -13 13/35