Perform the indicated operations; reduce the answer to 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 ÷ 4⁄9 h. 1⁄5 ÷ 3⁄4

Answer:a. 9/10b. 3/4c. 1/3d. 1/15e. 6/35f. 1/15g. 9/32h. 4/15Step-by-step explanation:a. [tex]\frac{3}{10} + \frac{6}{10} = \frac{30+60}{100} = \frac{90}{100} =  \frac{9}{10}[/tex]b. [tex]\frac{1}{3} + \frac{1}{4}+\frac{1}{6} = \frac{9}{12} =  \frac{3}{4}[/tex]c. [tex]\frac{5}{6} - \frac{3}{6} = \frac{2}{6} =  \frac{1}{3}[/tex]d. [tex]\frac{2}{3} - \frac{6}{10} = \frac{20-18}{30} =  \frac{2}{30} = \frac{1}{15}[/tex]e. [tex]\frac{4}{10}*\frac{3}{7} = \frac{4*3}{10*7} =  \frac{12}{70} = \frac{6}{35}[/tex]f. [tex]\frac{1}{6}*\frac{6}{15} = \frac{1*6}{6*15} =  \frac{6}{90} = \frac{1}{15}[/tex]g. [tex]\frac{\frac{1}{8}}{\frac{4}{9} } =\frac{9*1}{8*4} = \frac{9}{32}[/tex]h. [tex]\frac{\frac{1}{5}}{\frac{3}{4} } =\frac{4*1}{5*3} = \frac{4}{15}[/tex]