Question

there are 10 multiplication 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: multiply the fractions. a. $\frac{8}{7} \times \frac{8}{10}=\frac{64}{70}div2=\frac{32}{35}$ b. $\frac{2}{10} \times \frac{7}{10}=$ c. $\frac{9}{7} \times \frac{2}{9}=$ d. $\frac{3}{8} \times \frac{3}{2}=$ e. $\frac{3}{8} \times \frac{9}{3}=\frac{27}{24}div3=\frac{9}{8}$ f. $\frac{5}{6} \times \frac{3}{7}=$ g. $\frac{7}{10} \times \frac{5}{3}=$ h. $\frac{6}{1} \times \frac{3}{7}=$ i. $\frac{3}{2} \times \frac{3}{7}=$ j. $\frac{3}{9} \times \frac{9}{2}=$ scale of 0 - 10 (0 = i still have no clue, 10 = im a beast) how do you feel multiplying fractions? circle one. 1 2 3 4 5 6 7 8 9 10

Explanation:

Step1: Multiply numerators and denominators

For fraction - multiplication $\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}$.

Step2: Simplify the resulting fraction if possible

Find the greatest - common divisor (GCD) of the numerator and denominator and divide both by it.

b.

$\frac{2}{10}\times\frac{7}{10}=\frac{2\times7}{10\times10}=\frac{14}{100}=\frac{14\div2}{100\div2}=\frac{7}{50}$

c.

$\frac{9}{7}\times\frac{2}{9}=\frac{9\times2}{7\times9}=\frac{18}{63}=\frac{18\div9}{63\div9}=\frac{2}{7}$

d.

$\frac{3}{8}\times\frac{3}{2}=\frac{3\times3}{8\times2}=\frac{9}{16}$

f.

$\frac{5}{6}\times\frac{3}{7}=\frac{5\times3}{6\times7}=\frac{15}{42}=\frac{15\div3}{42\div3}=\frac{5}{14}$

g.

$\frac{7}{10}\times\frac{5}{3}=\frac{7\times5}{10\times3}=\frac{35}{30}=\frac{35\div5}{30\div5}=\frac{7}{6}$

h.

$\frac{6}{1}\times\frac{3}{7}=\frac{6\times3}{1\times7}=\frac{18}{7}$

i.

$\frac{3}{2}\times\frac{3}{7}=\frac{3\times3}{2\times7}=\frac{9}{14}$

j.

$\frac{3}{9}\times\frac{9}{2}=\frac{3\times9}{9\times2}=\frac{27}{18}=\frac{27\div9}{18\div9}=\frac{3}{2}$

Answer:

b. $\frac{7}{50}$
c. $\frac{2}{7}$
d. $\frac{9}{16}$
f. $\frac{5}{14}$
g. $\frac{7}{6}$
h. $\frac{18}{7}$
i. $\frac{9}{14}$
j. $\frac{3}{2}$