Question

Multiply these fractions (Lowest Terms)

Answer 1

$a)\\2\times\frac{3}{4}=\frac{2}{1}\times\frac{3}{4}=\frac{1}{1}\times\frac{3}{4}=\frac{3}{2}=1\frac{1}{2}\\b)\\3\times\frac{3}{5}=\frac{3}{1}\times\frac{3}{5}=\frac{9}{5}=1\frac{4}{5}\\c)\\4\times\frac{1}{3}=\frac{4}{3}=1\frac{1}{3}\\d)\\6\times\frac{2}{5}=\frac{12}{5}=2\frac{2}{5}$
$e)\\\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}\\f)\\\frac{4}{5}\times\frac{2}{3}=\frac{8}{15}\\g)\\\frac{5}{6}\times\frac{3}{4}=\frac{5}{2}\times\frac{1}{4}=\frac{5}{8}\\h)\\\frac{1}{10}\times\frac{2}{3}=\frac{1}{5}\times\frac{1}{3}=\frac{1}{15}$
$i)\\2\frac{1}{5}\times\frac{1}{2}=\frac{2\times5+1}{5}\times\frac{1}{2}=\frac{11}{5}\times\frac{1}{2}=\frac{11}{10}=1\frac{1}{10}\\j)\\1\frac{1}{2}\times2\frac{1}{3}=\frac{1\times2+1}{2}\times\frac{2\times3+1}{3}=\frac{3}{2}\times\frac{7}{3}=\frac{1}{2}\times\frac{7}{1}=\frac{7}{2}=3\frac{1}{2}\\k)\\\frac{3}{4}\times2\frac{3}{4}=\frac{3}{4}\times\frac{2\times4+3}{4}=\frac{3}{4}\times\frac{11}{4}=\frac{33}{16}=2\frac{1}{16}$
$l)\\6\frac{2}{3}\times2\frac{1}{8}=\frac{6\times3+2}{3}\times\frac{2\times8+1}{8}=\frac{20}{3}\times\frac{17}{8}=\frac{5}{3}\times\frac{17}{2}=\frac{85}{6}=14\frac{1}{6}$

Answer 2

For Q's a to d
a) 2 x 3/4 = 6/4 = 1 2/4 = 1 1/2
b, c and d follow the same pattern

For Q's e to h we use fraction multiplication:
f) 4/5 x 2/3 = 8/15

For Q's i to l we have to change the mixed numbers to top heavy fractions and then multiply:
j) 1 1/2  is equal 3/2 and 1 1/3 is equal to 4/3
Therefore 1 1/2 x 1 1/3 = 3/2 x 4/3 = 12/6 = 2

I hope that this gives you enough information to go on