Add 60/84 and 75/90
60/84 + 75/90 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
60/84 = 60 × 15/84 × 15 = 900/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
75/90 = 75 × 14/90 × 14 = 1050/1260 - Add the two like fractions:
900/1260 + 1050/1260 = 900 + 1050/1260 = 1950/1260 - 1950/1260 simplified gives 65/42
- So, 60/84 + 75/90 = 65/42
In mixed form: 123/42
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