Question

there are 10 division problems on this page. check out my 2 examples! pick any other 6 problems to complete. show your work and simplify for full credit. directions: divide the fractions. a. $\frac{1}{2} div \frac{3}{5} =$ b. $\frac{1}{5} div \frac{5}{8} = \frac{1}{5} \times \frac{8}{5} = \frac{8}{25}$ c. $\frac{2}{4} div \frac{1}{4} =$ d. $\frac{6}{9} div \frac{2}{7} =$ e. $\frac{2}{4} div \frac{5}{8} =$ f. $\frac{4}{6} div \frac{6}{9} = \frac{4}{6} \times \frac{9}{6} = \frac{36}{36} = 1$ g. $\frac{8}{9} div \frac{1}{2} =$ h. $\frac{2}{3} div \frac{1}{5} =$ i. $\frac{4}{7} div \frac{1}{4} =$ j. $\frac{6}{10} div \frac{2}{5} =$ on a scale of 0 - 10 (0 = i still have no clue, 10 = im a beast) how do you feel about dividing fractions? circle one. 1 2 3 4 5 6 7 8 9 10

Explanation:

Step1: Recall fraction - division rule

To divide two fractions $\frac{a}{b}\div\frac{c}{d}$, we multiply the first fraction by the reciprocal of the second fraction, i.e., $\frac{a}{b}\times\frac{d}{c}=\frac{ad}{bc}$.

Step2: Solve part a

For $\frac{1}{2}\div\frac{3}{5}$, we have $\frac{1}{2}\times\frac{5}{3}=\frac{1\times5}{2\times3}=\frac{5}{6}$.

Step3: Solve part c

For $\frac{2}{4}\div\frac{1}{4}$, we have $\frac{2}{4}\times\frac{4}{1}=\frac{2\times4}{4\times1}=2$.

Step4: Solve part d

For $\frac{6}{9}\div\frac{2}{7}$, we have $\frac{6}{9}\times\frac{7}{2}=\frac{6\times7}{9\times2}=\frac{42}{18}=\frac{7}{3}$.

Step5: Solve part e

For $\frac{2}{4}\div\frac{5}{8}$, we have $\frac{2}{4}\times\frac{8}{5}=\frac{2\times8}{4\times5}=\frac{16}{20}=\frac{4}{5}$.

Step6: Solve part g

For $\frac{8}{9}\div\frac{1}{2}$, we have $\frac{8}{9}\times\frac{2}{1}=\frac{8\times2}{9\times1}=\frac{16}{9}$.

Step7: Solve part h

For $\frac{2}{3}\div\frac{1}{5}$, we have $\frac{2}{3}\times\frac{5}{1}=\frac{2\times5}{3\times1}=\frac{10}{3}$.

Step8: Solve part i

For $\frac{4}{7}\div\frac{1}{4}$, we have $\frac{4}{7}\times\frac{4}{1}=\frac{4\times4}{7\times1}=\frac{16}{7}$.

Step9: Solve part j

For $\frac{6}{10}\div\frac{2}{5}$, we have $\frac{6}{10}\times\frac{5}{2}=\frac{6\times5}{10\times2}=\frac{30}{20}=\frac{3}{2}$.

Answer:

a. $\frac{5}{6}$
c. $2$
d. $\frac{7}{3}$
e. $\frac{4}{5}$
g. $\frac{16}{9}$
h. $\frac{10}{3}$
i. $\frac{16}{7}$
j. $\frac{3}{2}$