Question

4 2/7 : 1 5/21 + (4 3/13 * 14/15 - 3 1/3)

Answer 1

$4ttdisplaystylefrac{2}{7}:1frac{5}{21}+(4frac{3}{13}*frac{14}{15}-3frac{1}{3})=4frac{1}{13}$

$1)4ttdisplaystylefrac{3}{13}*frac{14}{15}=frac{55}{13}*frac{14}{15}=frac{5*11*14}{13*3*5}=frac{154}{39}=3frac{37}{39}$

$2)3ttdisplaystylefrac{37}{39}-3frac{1}{3}=3frac{37}{39}-3frac{13}{39}=frac{24}{39}=frac{8}{13}$

$3)4ttdisplaystylefrac{2}{7}:1frac{5}{21}=frac{30}{7}:frac{26}{21}=frac{30}{7}*frac{21}{26}=frac{2*15*3*7}{7*2*13}=frac{45}{13}=3frac{6}{13}$

$4)3ttdisplaystylefrac{6}{13}+frac{8}{13}=3frac{14}{13}=4frac{1}{13}$