Add 60/72 and 30/42
60/72 + 30/42 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 42 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
60/72 = 60 × 7/72 × 7 = 420/504 - Likewise, for the 2nd fraction, since 42 × 12 = 504,
30/42 = 30 × 12/42 × 12 = 360/504 - Add the two like fractions:
420/504 + 360/504 = 420 + 360/504 = 780/504 - 780/504 simplified gives 65/42
- So, 60/72 + 30/42 = 65/42
In mixed form: 123/42
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