Add 35/42 and 45/72
35/42 + 45/72 is 35/24.
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,
35/42 = 35 × 12/42 × 12 = 420/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
45/72 = 45 × 7/72 × 7 = 315/504 - Add the two like fractions:
420/504 + 315/504 = 420 + 315/504 = 735/504 - 735/504 simplified gives 35/24
- So, 35/42 + 45/72 = 35/24
In mixed form: 111/24
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