Question

1) 5/6•12/25
2) 4 1/3•4 1/5
3) 7/16•48
4) 22/45:11/90
5) 2 5/6:1 1/18
6) 7: 14/19
7) 13/17:39

Answer 1

1.

$\frac{5}{6} \times \frac{12}{25} = \frac{5 \times 12}{6 \times 25} = \frac{1 \times 2}{1 \times 5} = \frac{2}{5}$

2.

$4 \frac{1}{3} \times 4 \frac{1}{5} = \frac{13}{3} \times \frac{21}{5} = \frac{13 \times 21}{3 \times 5} = \frac{13 \times 7}{1 \times 5} = \frac{91}{5} = 18 \frac{1}{5}$

3.

$\frac{7}{16} \times 48 = \frac{7 \times 48}{16} = \frac{7 \times 3}{1} = 7 \times 3 = 21$

4.

$\frac{22}{45} \div \frac{11}{90} = \frac{22}{45} \times \frac{90}{11} = \frac{22 \times 90}{45 \times 11} = \frac{2 \times 2}{1 \times 1} = 2 \times 2 = 4$

5.

$2 \frac{5}{6} \div 1 \frac{1}{18} = \frac{17}{6} \div \frac{19}{18} = \frac{17}{6} \times \frac{18}{19} = \frac{17 \times 18}{6 \times 19} = \frac{17 \times 3}{1 \times 19} = \frac{51}{19} = 2 \frac{13}{19}$

6.

$7 \div \frac{14}{19} = 7 \times \frac{19}{14} = \frac{7 \times 19}{14} = \frac{1 \times 19}{2} = \frac{19}{2} = 9 \frac{1}{2}$

7.

$\frac{13}{17} \div 39 = \frac{13}{17} \times \frac{1}{39} = \frac{13}{17 \times 39} = \frac{1}{17 \times 3} = \frac{1}{51}$