if a:b = 5:9 and b:c = 4:7, find a:b:c and a:c ?
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a : b = 5 : 9
b : c = 4 : 7
Observe that the figures against b are 9 and 4 .
Find LCM of 9 and 4. This is 36.
Now make figures in both ratios such that figure against b is 36.
Therefore a : b = (Multiply by 4) 5x4 : 9x4 = 20 : 36
B : c = (multiply by 9) 4x9 : 7x9 = 36 : 63
When figure against b is made same (as b =36 above),
Ratio a : b : c = 20 : 36 : 63
and a :c = 20 : 63
b : c = 4 : 7
Observe that the figures against b are 9 and 4 .
Find LCM of 9 and 4. This is 36.
Now make figures in both ratios such that figure against b is 36.
Therefore a : b = (Multiply by 4) 5x4 : 9x4 = 20 : 36
B : c = (multiply by 9) 4x9 : 7x9 = 36 : 63
When figure against b is made same (as b =36 above),
Ratio a : b : c = 20 : 36 : 63
and a :c = 20 : 63
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