Question

(Show ur work) what is 2 2/10 ÷ 6 2/5 = ?

Answer 1

`( 11 )/( 32 )`

Explanation:

Note: 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

`2 ( 2 )/( 10 ) / 6 ( 2 )/( 5 )`

2/10 in the mixed fraction " 2 2/10" simplifies to 1/5

`2 ( 1 )/( 5 ) / 6 ( 2 )/( 5 )`

2 1/5 turns into 11/5 and 6 2/5 turns into 32/5

`( 11 )/( 5 ) / ( 32 )/( 5 )`

Flip the numerator and denominator of the second fraction and change the division sign to a multiplication sign

`( 11 )/( 5 ) * ( 32 )/( 5 )`

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

`( 11 * 5 )/( 5 * 32 ) = ( 55 )/( 160 )`

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 55 and 160 using

GCF(55,160) = 5

`( 55 / 5 )/( 160 / 5 ) = ( 11 )/( 32 )`

Therefore:

`( 11 )/( 5 ) / ( 32 )/( 5 )=( 11 )/( 32 )`