Question

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

Answer 1

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:

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

Answer 2

Answer:

$\large\boxed{15\div6\dfrac{2}{3}=2\dfrac{1}{4}}$

Step-by-step explanation:

$15\div6\dfrac{2}{3}\\\\\text{convert the mixed number to the improper fraction:}\ 6\dfrac{2}{3}=\dfrac{6\cdot3+2}{3}=\dfrac{20}{3}\\\\15\div\dfrac{20}{3}=15\cdot\dfrac{3}{20}=15\!\!\!\!\!\diagup^3\cdot\dfrac{3}{20\!\!\!\!\!\diagup_4}=\dfrac{(3)(3)}{4}=\dfrac{9}{4}=2\dfrac{1}{4}$