Question

Please help.


What is 7/8 divided by 6/8

Simplify your answer.

Answer 1

Hey there!

7/8÷6/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

7/8×8/6=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

7×8/8×6=56/48

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 48 using

GCF(56,48) = 8

56÷8/48÷8=76

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6=
`1 (1)/(6)`

Therefore:

7/8÷6/8= 1 1/6

Answer 2

Let's do

`\\ \bf\hookrightarrow (7)/(8)/ (6)/(8)`

`\\ \bf\hookrightarrow (7)/(8)* (8)/(6)`

`\\ \bf\hookrightarrow (7)/(8)* (4)/(3)`

• Cancel 4 and 8

`\\ \bf\hookrightarrow (7)/(2)* (1)/(3)`

`\\ \bf\hookrightarrow (7)/(6)`