Add 30/42 and 54/72
30/42 + 54/72 is 41/28.
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,
54/72 = 54 × 7/72 × 7 = 378/504 - Add the two like fractions:
360/504 + 378/504 = 360 + 378/504 = 738/504 - 738/504 simplified gives 41/28
- So, 30/42 + 54/72 = 41/28
In mixed form: 113/28
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