Add 40/42 and 36/72
40/42 + 36/72 is 61/42.
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,
36/72 = 36 × 7/72 × 7 = 252/504 - Add the two like fractions:
480/504 + 252/504 = 480 + 252/504 = 732/504 - 732/504 simplified gives 61/42
- So, 40/42 + 36/72 = 61/42
In mixed form: 119/42
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