Question

Select the best answer for the question.
15 ÷ 6 2⁄3 =

Answer 1

`\large\boxed{15/6(2)/(3)=2(1)/(4)}`

Explanation:

`15/6(2)/(3)\\\\\text{convert the mixed number to the improper fraction:}\ 6(2)/(3)=(6\cdot3+2)/(3)=(20)/(3)\\\\15/(20)/(3)=15\cdot(3)/(20)=15\!\!\!\!\!\diagup^3\cdot(3)/(20\!\!\!\!\!\diagup_4)=((3)(3))/(4)=(9)/(4)=2(1)/(4)`

Answer 2

For this case we must rewrite the mixed number as a fraction:

`6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}`

Rewriting the expression we have:

`\frac {\frac {15} {1}} {\frac {20} {3}} =`

Applying double C we have:

`\frac {3 * 15} {20 * 1} =\\\frac {45} {20} =`

We simplify dividing by 5 the numerator and denominator:

`\frac {9} {4}`

Converting to mixed number we have:

`2 \frac {1} {4}`

Answer:

`\frac {9} {4} = 2 \frac {1} {4}`