Question

3
—
4 divided by

9
—
10

Answer 1

`\displaystyle ((3)/(4))/((9)/(10))=(5)/(6)`

Explanation:

Fraction Division

The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:

`\displaystyle ((a)/(b))/((c)/(d))=(a)/(b)\cdot(d)/(c)`

We are required to divide:

`\displaystyle ((3)/(4))/((9)/(10))`

Applying the above rule:

`\displaystyle ((3)/(4))/((9)/(10))=(3)/(4)\cdot(10)/(9)=(30)/(36)`

Simplifing by 6:

`\boxed{\displaystyle ((3)/(4))/((9)/(10))=(5)/(6)}`