Add 45/72 and 30/42
45/72 + 30/42 is 75/56.
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,
45/72 = 45 × 7/72 × 7 = 315/504 - Likewise, for the 2nd fraction, since 42 × 12 = 504,
30/42 = 30 × 12/42 × 12 = 360/504 - Add the two like fractions:
315/504 + 360/504 = 315 + 360/504 = 675/504 - 675/504 simplified gives 75/56
- So, 45/72 + 30/42 = 75/56
In mixed form: 119/56
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