Add 40/42 and 14/72
40/42 + 14/72 is 289/252.
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,
40/42 = 40 × 12/42 × 12 = 480/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
14/72 = 14 × 7/72 × 7 = 98/504 - Add the two like fractions:
480/504 + 98/504 = 480 + 98/504 = 578/504 - 578/504 simplified gives 289/252
- So, 40/42 + 14/72 = 289/252
In mixed form: 137/252
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