Add 40/72 and 49/84
40/72 + 49/84 is 41/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 84 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
40/72 = 40 × 7/72 × 7 = 280/504 - Likewise, for the 2nd fraction, since 84 × 6 = 504,
49/84 = 49 × 6/84 × 6 = 294/504 - Add the two like fractions:
280/504 + 294/504 = 280 + 294/504 = 574/504 - 574/504 simplified gives 41/36
- So, 40/72 + 49/84 = 41/36
In mixed form: 15/36
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