Add 27/72 and 30/42
27/72 + 30/42 is 61/56.
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,
27/72 = 27 × 7/72 × 7 = 189/504 - Likewise, for the 2nd fraction, since 42 × 12 = 504,
30/42 = 30 × 12/42 × 12 = 360/504 - Add the two like fractions:
189/504 + 360/504 = 189 + 360/504 = 549/504 - 549/504 simplified gives 61/56
- So, 27/72 + 30/42 = 61/56
In mixed form: 15/56
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