Question

4: 2 2/5= 5 5/7:25= 4 2/7:5/7= 6 2/3:2 4/7= 1 1/4:1 2/3=​

Answer 1

1)4:2 2/5= 4 : 12/5 = 4 • 5/12 = 5/3
2)5 5/7 : 25= 40/7 : 25 = 40/7 • 1/25=8/7•1/5= 8/35
3)4 2/7:5/7= 30/7 : 5/7=30/7•7/5=6

Answer 2

To solve these proportions, you can use cross-multiplication. Here's how you can do it for each of the proportions you provided:

1. $4 : \frac{2}{5} = 5 : \frac{5}{7}$

   Cross-multiply: $4 \cdot \frac{5}{7} = 5 \cdot \frac{2}{5}$

   Simplify each side: $\frac{20}{7} = \frac{10}{5}$

   Simplify the fractions: $\frac{20}{7} = 2$

2. $4 \frac{2}{7} : \frac{5}{7} = 6 \frac{2}{3} : 2 \frac{4}{7}$

   First, convert mixed numbers to improper fractions: $\frac{30}{7} : \frac{5}{7} = \frac{20}{3} : \frac{18}{7}$

   Cross-multiply: $\frac{30}{7} \cdot \frac{7}{5} = \frac{20}{3} \cdot \frac{7}{18}$

   Simplify each side: $\frac{30}{5} = \frac{140}{54}$

   Simplify the fractions: $6 = \frac{70}{27}$

3. $1 \frac{1}{4} : 1 \frac{2}{3}$

   First, convert mixed numbers to improper fractions: $\frac{5}{4} : \frac{5}{3}$

   Cross-multiply: $\frac{5}{4} \cdot \frac{3}{5} = \frac{5}{3} \cdot \frac{4}{1}$

   Simplify each side: $\frac{15}{20} = \frac{20}{3}$

   Simplify the fractions: $\frac{3}{4} = \frac{20}{3}$

None of these proportions are equal, so there are no solutions that satisfy all of them simultaneously.