Question

Perform the indicated operations; reduce the answer to the lowest terms. A. 3/10 + 6/10 b. 1/3 + 1/4 + 1/6 c. 5/6-3/6 d. 2/3-6/10 e. 4/10*3/7 f. 1/6*6/15 g. 1/8 divided by 4/9 h. 1/5 divided by 3/4

Answer 1

Answer:

a. 9/10

b. 3/4

c. 1/3

d. 1/15

e. 6/35

f. 1/15

g. 9/32

h. 4/15

Step-by-step explanation:

a. $\frac{3}{10}+\frac{6}{10}=\frac{9}{10}$

b. $\frac{1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{4}{12}+\frac{3}{12}+\frac{2}{12}=\frac{9}{12}=\frac{3}{4}$

c. $\frac{5}{6}-\frac{3}{6}=\frac{2}{6}=\frac{1}{3}$

d. $\frac{2}{3}-\frac{6}{10}=\frac{20}{30}-\frac{18}{30}=\frac{2}{30}=\frac{1}{15}$

e. $\frac{4}{10}*\frac{3}{7}=\frac{12}{70}=\frac{6}{35}$

f. $\frac{1}{6}*\frac{6}{15}=\frac{1}{15}$

g. $\frac{1}{8}/\frac{4}{9}=\frac{1}{8}*\frac{9}{4}=\frac{9}{32}$

h. $\frac{1}{5}/\frac{3}{4}=\frac{1}{5}*\frac{4}{3}=\frac{4}{15}$

Answer 2

Answer with step-by-step explanation:

Reducing the given expressions to the lowest terms:

A. 3/10 + 6/10: $\frac { 3 } { 10 } + \frac { 6 } { 10 } = \frac { 9 } { 10 }$

B. 1/3 + 1/4 + 1/6: $\frac { 4 + 3 + 2 } { 12 } = \frac { 9 } { 12 } = \frac { 3 } { 4 }$

C. 5/6-3/6: $\frac { 5 } { 6 } - \frac { 3 } { 6 } = \frac { 2 } { 6 } = \frac { 1 } { 3 }$

D. 2/3-6/10: $\frac{2}{3} -\frac{6}{10} = \frac{20-18}{30} =\frac{2}{30} =\frac{1}{15}$

E. 4/10*3/7: $\frac{4}{10} *\frac{3}{7} = \frac{12}{70}=\frac{6}{35}$

F. 1/6*6/15: $\frac{1}{6} *\frac{6}{15} = \frac{1}{15}$

G. 1/8 divided by 4/9: $\frac{\frac{1}{8} }{\frac{4}{9} } =\frac{1}{8} *\frac{9}{4} =\frac{9}{32}$

H. 1/5 divided by 3/4: $\frac{\frac{1}{5} }{\frac{3}{4} } =\frac{1}{5} *\frac{4}{3} =\frac{4}{15}$