Hi there!
These can all be solved by using the cross product method :
1. [tex]\frac{40}{8} = \frac{45}{x}[/tex]
(45 × 8) ÷ 40 = x
360 ÷ 40 = x
9 = x
→ ANSWER : [tex]\frac{40}{8} = \frac{45}{9}[/tex]
2. [tex]\frac{42}{14} = \frac{x}{5}[/tex]
(5 × 42) ÷ 14 = x
210 ÷ 14 = x
15 = x
→ ANSWER : [tex]\frac{42}{14} = \frac{15}{5}[/tex]
3. [tex]\frac{x}{2} = \frac{56}{8}[/tex]
(2 × 56) ÷ 8 = x
112 ÷ 8 = x
14 = x
→ ANSWER : [tex]\frac{14}{2} = \frac{56}{8}[/tex]
4. [tex]\frac{x}{4} = \frac{26}{13}[/tex]
(4 × 26) ÷ 13 = x
104 ÷ 13 = x
8 = x
→ ANSWER : [tex]\frac{8}{4} = \frac{26}{13}[/tex]
5. [tex]\frac{4}{32} = \frac{9}{x}[/tex]
(9 × 32) ÷ 4 = x
288 ÷ 4 = x
72 = x
→ ANSWER : [tex]\frac{4}{32} = \frac{9}{72}[/tex]
6. [tex]\frac{9}{3} = \frac{x}{4}[/tex]
(4 × 9) ÷ 3 = x
36 ÷ 3 = x
12 = x
→ ANSWER : [tex]\frac{9}{3} = \frac{12}{4}[/tex]
7. [tex]\frac{3}{x} = \frac{2}{1.25}[/tex]
(3 × 1.25) ÷ 2 = x
3.75 ÷ 2 = x
1.875 = x
→ ANSWER : [tex]\frac{3}{1.875} = \frac{2}{1.25}[/tex]
There you go! I really hope this helped, if there's anything just let me know! :)
