[tex] \frac{2}{3} \times \frac{5}{6} = \\ \frac{1}{3} \times \frac{5}{3} = \frac{5}{9} [/tex]
[tex] \frac{2}{6} \times \frac{1}{2} = \\ \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} [/tex]
[tex] \frac{3}{4} \times \frac{1}{2} \times \frac{2}{5} = \\ \frac{3}{2} \times \frac{1}{2} \times \frac{1}{5} = \frac{3}{20} [/tex]
[tex]2 \frac{1}{2} \times 3 \frac{2}{3} \\ \frac{5}{2} \times \frac{11}{3} = \frac{55}{6} = 9 \frac{1}{6} [/tex]
[tex] \frac{7}{8} \div \frac{3}{5} \\ \frac{7}{8} \times \frac{5}{3} = \frac{35}{24} = 1 \frac{11}{24} [/tex]
[tex] \frac{9}{10} \div \frac{3}{5} \\ \frac{9}{10} \times \frac{5}{3} \\ \frac{3}{2} \times \frac{1}{1} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
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Verified answer
1. 2/3 × 5/6 =
[tex] \frac{2}{3} \times \frac{5}{6} = \\ \frac{1}{3} \times \frac{5}{3} = \frac{5}{9} [/tex]
= 5/9
2. 2/6 × 1/2 =
[tex] \frac{2}{6} \times \frac{1}{2} = \\ \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} [/tex]
= 1/6
3. 3/4 × 1/2 × 2/5 =
[tex] \frac{3}{4} \times \frac{1}{2} \times \frac{2}{5} = \\ \frac{3}{2} \times \frac{1}{2} \times \frac{1}{5} = \frac{3}{20} [/tex]
= 3/20
4. 2 1/2 × 3 2/3
[tex]2 \frac{1}{2} \times 3 \frac{2}{3} \\ \frac{5}{2} \times \frac{11}{3} = \frac{55}{6} = 9 \frac{1}{6} [/tex]
= 55/6 or 9 1/6
5. 7/8 ÷ 3/5 =
[tex] \frac{7}{8} \div \frac{3}{5} \\ \frac{7}{8} \times \frac{5}{3} = \frac{35}{24} = 1 \frac{11}{24} [/tex]
= 35/24 or 1 11/24
6. 9/10 ÷ 3/5 =
[tex] \frac{9}{10} \div \frac{3}{5} \\ \frac{9}{10} \times \frac{5}{3} \\ \frac{3}{2} \times \frac{1}{1} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
= 3/2 or 1 1/2