Question

5/8*4/7=?
25/31*4=?
17/46: 17/4=?
24: 4/5=?
1 7/6: 7/3=?

Answer 1

5/8*4/7=5/14

$\frac{5 \times4 }{8 \times 7} = \frac{20}{56} = \frac{5 \times 4}{14 \times 4} = \frac{5}{14}$

25/31*4=3 7/31

$\frac{25}{31} \times \frac{4}{1} = \frac{25 \times 4}{31 \times 1} = \frac{100}{31} = 3 \frac{7}{31}$

17/46:17/4=2/23

$\frac{17}{46} \times \frac{4}{17} = \frac{17 \times 4}{46 \times 17} = \frac{68}{782} = \frac{2 \times 34}{23 \times 34} = \frac{2}{23}$

24:4/5=30

$24 \div \frac{4}{5} = \frac{24}{1} \div \frac{4}{5} = \frac{24}{1} \times \frac{5}{4} = \frac{24 \times 5}{1 \times 4} = \frac{120}{4} = \frac{30 \times 4}{1 \times 4} = \frac{30}{1} = 30$

1 7/6:7/3=13/14

$\frac{1 \times 6 + 7}{6} \div \frac{7}{3} = \frac{13}{6} \div \frac{7}{3} = \frac{13}{6} \times \frac{3}{7} = \frac{13 \times 3}{6 \times 7} = \frac{39}{42} = \frac{13 \times 3}{14 \times 3} = \frac{13}{14}$