Question

simplify the following a)3÷5/8 b)7÷3 5/6 c)2/5÷4/15 d)3/10÷2/5 e)6÷4/3 f)3 5/3÷2/15 g)1/8÷2/15 h)3/2÷8/5 i)4 2/3÷5 1/6​

Answer 1

Step-by-step explanation:

a)

$\frac{3}{1} \div \frac{5}{8} \\ \frac{3}{1} \times \frac{8}{5} = \frac{24}{5}$

b)

$\frac{7}{1} \div 3 \frac{5}{6} \\ \ \frac{7}{1} \div \frac{23}{6} \\ \frac{7}{1} \times \frac{6}{23} = \frac{42}{23}$

c)

$\frac{2}{5} \div \frac{4}{15} \\ \frac{2}{5} \times \frac{15}{4 } = \frac{30}{20} = \frac{3}{2}$

d)

$\frac{3}{10} \div \frac{2}{5} \\ \frac{3}{10} \times \frac{5}{2} = \frac{15}{20} = \frac{3}{4}$

e)

$\frac{6}{1} \div \frac{4}{3} \\ \frac{6}{1} \times \frac{3}{4} = \frac{18}{4} = \frac{9}{2}$

f)

$3 \frac{5}{3} \div \frac{2}{15} \\ \frac{14}{3} \div \frac{2}{15} \\ \frac{14}{3} \times \frac{15}{2} = \frac{210}{6} = 35$

g)

$\frac{1}{8} \div \frac{2}{15} \\ \frac{1}{8} \times \frac{15}{2} = \frac{15}{16}$

h)

$\frac{3}{2} \div \frac{8}{5} \\ \frac{3}{2} \times \frac{5}{8} = \frac{15}{16}$

i)

$4 \frac{2}{3} \div 5 \frac{1}{6} \\ \frac{14}{3} \div \frac{31}{6} \\ \frac{14}{3} \times \frac{6}{31} = \frac{84}{93} = \frac{28}{31}$