Question

find a:c when i) a:b=1 1/3 :1 1/2 and b:c= 1 2/3 :5​

Answer 1

Step-by-step explanation:

Here are two methods.

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see that

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see thatA:B:C = 6:15:5⟹A:C = 6:5

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see thatA:B:C = 6:15:5⟹A:C = 6:5 Second, treat the ratios as fractions:

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see thatA:B:C = 6:15:5⟹A:C = 6:5 Second, treat the ratios as fractions:A:B = 2:5⟹AB = 25

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see thatA:B:C = 6:15:5⟹A:C = 6:5 Second, treat the ratios as fractions:A:B = 2:5⟹AB = 25 B:C = 3:1⟹BC = 31

First, multiply the terms each ratio by factors so that the ‘B’ terms become equal:A:B = 2:5 = 6:15 B:C = 3:1 = 15:5 Now you can see thatA:B:C = 6:15:5⟹A:C = 6:5 Second, treat the ratios as fractions:A:B = 2:5⟹AB = 25 B:C = 3:1⟹BC = 31 AC = AB⋅BC = 25⋅31 = 65⟹A:C = 6:5