a) 2/7 * x = 1 3/5
x=1\frac{3}{5}: \frac{2}{7}=\frac{8}{5}*\frac{7}{2}=\frac{4*7}{5}=\frac{28}{5}=5\frac{3}{5}
b) 3/4 to 3 1/2
\frac{3}{4}*x=3\frac{1}{2}
x=3\frac{1}{2}:\frac{3}{4}=\frac{7}{2}*\frac{4}{3}=\frac{7*2}{3}=\frac{14}{3}=4\frac{2}{3}
c) 1 1/3 to 6
1\frac{1}{3}*x=6
x=6:\frac{4}{3}=6*\frac{3}{4}=3*\frac{3}{2}=\frac{9}{2}=4\frac{1}{2}
d) 2 2/5 to 6 3/4
2\frac{2}{5}*x=6\frac{3}{4}
x=6\frac{3}{4}:2\frac{2}{5}=\frac{27}{4}:\frac{14}{5}=\frac{27}{4}*\frac{5}{14}=\frac{135}{56}=2\frac{23}{56}
e) 3/5 to 24
\frac{3}{5}*x=24
x=24:\frac{3}{5}=24*\frac{5}{3}=8*5=40
f) 4/9 to 8
\frac{4}{9}*x=8
x=8:\frac{4}{9}=8*\frac{9}{4}=2*9=18
g) 8/21 to 24
\frac{8}{21}*x=24
x=24:\frac{8}{21}=24*\frac{21}{8}=3*21=63