Question

Choose the quotient of2 5/8 divided by 1/2

Answer 1

We need to solve the following

$\frac{2\frac{5}{8}}{\frac{1}{2}}$

Stepts.

#1. Convert mixed numbers to improper fractions

$\begin{gathered} a\frac{b}{c}=\frac{a-c+b}{c} \\ 2\frac{5}{8}=\frac{2\cdot8+5}{8} \\ =\frac{21}{8} \end{gathered}$

So, now we have:

$\frac{2\frac{5}{8}}{\frac{1}{2}}=\frac{\frac{21}{8}}{\frac{1}{2}}$

#2 Apply the fraction rule

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot\:d}{b\cdot\:c}$

So, we obtain

$\frac{\frac{21}{8}}{\frac{1}{2}}=\frac{21\cdot\:2}{8\cdot\:1}=\frac{21}{4}$

#3. Convert improper fractions to mixed number

$\frac{21}{4}=\frac{20+1}{4}=\frac{20}{4}+\frac{1}{4}=5\frac{1}{4}$

Thus, we have that the quotient of 2 5/8 divided by 1/2 is 5 1/4