Question

3/4 Divided by 6 2/3 as a fraction in simplest form

Answer 1

let's convert the mixed fractions to improper fractions first.

`\stackrel{mixed}{6(2)/(3)}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{4}/ \cfrac{20}{3}\implies \cfrac{3}{4}\cdot \cfrac{3}{20}\implies \cfrac{9}{80}`

Answer 2

9/80.

Explanation:

1. Write the expression.

`((3)/(4))/((6+(2)/(3) ))`

2.Simplify the denominator.

`6+(2)/(3)=\\ \\(18)/(3)+(2)/(3) =\\ \\(18+2)/(3) =\\ \\(20)/(3)`

3. Rewrite the original expression.

`((3)/(4))/(((20)/(3) ))`

4. Use the rules of fractions to rewrite the operation.

Check the attached image.

`(3)/(4) *(3)/(20)=(3*3)/(4*20) =(9)/(80)`

5. Express the final result.

9/80.