Question

Question #071f4

Answer 1

`9/35`

Explanation:

`(3/14)/(5/6)=3/14*6/5=3/7*3/5=9/35`

Answer 2

`18/70`
Simplified: `9/35`

Explanation:

`3/14` `-:` `5/6`

When dividing fractions, you multiply by the reciprocal

The reciprocal of a fraction is just the number flipped (numerator (top) and denominator (bottom) flipped)

Leaving the first fraction alone, change the division to multiplication, and take the reciprocal of the second fraction

The reciprocal of `5/6` is `6/5`

`3/14 xx 6/5`

When multiplying fractions, multiply the tops together, and then multiply the bottoms together

`color(red)3/color(green)14 xx color(red)6/color(green)5 = color(red)18/color(green)70`

`3/14` `-:` `5/6=18/70`

`18/70` can be simplified into a smaller fraction, which is `9/35`

Answer 3

3-three
over- /
14-fourteen
divided by - /
5-five
over-/
6-six
`3/14 / 5/6`
Remember,
`a/b/c/d=a/b*d/c`
`3/14xx6/5`
`18/70`
Simplify
`9/35`