Question

3 ⅕ -⅔ divided by 2 ⅘

Answer 1

160/196

Explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

`(14)/(5) - (2)/(3)` : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

`(32)/(14)` multiplied by
`(5)/(14)`

thus, answer is 160/196