Add 30/42 and 42/72
30/42 + 42/72 is 109/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 42 × 12 = 504,
30/42 = 30 × 12/42 × 12 = 360/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
42/72 = 42 × 7/72 × 7 = 294/504 - Add the two like fractions:
360/504 + 294/504 = 360 + 294/504 = 654/504 - 654/504 simplified gives 109/84
- So, 30/42 + 42/72 = 109/84
In mixed form: 125/84
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