Question

Write an equivalent multiplication expression. than, find the quotient in it's simplest form. Use a model to support your response.

1. 1/4 divided by 2

2. 2/3 divided by 6​

Answer 1

Part 1)
`(1)/(8)`

Part 2)
`(1)/(9)`

Explanation:

we know that

The quotient of a fraction by a whole number is the same that multiply the fraction by the reciprocal of the whole number

so

`((a)/(b))/(c)=((a)/(b))((1)/(c))`

Part 1) 1/4 divided by 2

`((1)/(4))/(2)=((1)/(4))((1)/(2))=(1)/(8)`

Part 2) 2/3 divided by 6​

`((2)/(3))/(6)=((2)/(3))((1)/(6))=(2)/(18)`

Simplify

`(1)/(9)`