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Question

Find the simplest form of ratio-
36:90
324:144
85:561
480:384

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Solution

Answer :
We know we can write ratio in fraction , we write our numerator and denominator in factors of their prime number and then cancel out the common one , the remaining fraction is in simplest form , As :

1 ) 36 : 90 = 3690 = 2 × 2 × 3 ×3 2 × 3 ×3 ×5 = 25 = 2 : 5 2 ) 324 : 144 = 324144 = 2 × 2 × 3 ×3× 3 ×32 × 2 × 2 ×2× 3 ×3 = 3 ×32 × 2 = 94 = 9 : 4 3 ) 85 : 561 = 85561 = 5 ×173 × 11 ×17 = 53 × 11 = 533 = 5 : 33 4 ) 480 : 384 = 324384 = 2 × 2 × 2 ×2× 2 ×3×52 × 2 × 2 ×2× 2 ×2×2×3 = 52 × 2 = 54 = 5 : 4

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