10 grade maths
Express the ratio 36:90 in its simplest form.
Express the ratio 36:90 in its simplest form.
1 Answer
Askiitians Tutor Team
To simplify the ratio 36:90, follow these steps:
Find the Greatest Common Divisor (GCD) of 36 and 90.
List the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
List the factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
The common factors are: 1, 2, 3, 6, 9, 18.
The greatest common divisor is 18.
Divide both numbers by the GCD (18):
36 ÷ 18 = 2
90 ÷ 18 = 5
The simplified ratio is 2:5.
Therefore, the ratio 36:90 in its simplest form is 2:5.
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