Add 35/36 and 49/56
35/36 + 49/56 is 133/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 36 × 14 = 504,
35/36 = 35 × 14/36 × 14 = 490/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Add the two like fractions:
490/504 + 441/504 = 490 + 441/504 = 931/504 - 931/504 simplified gives 133/72
- So, 35/36 + 49/56 = 133/72
In mixed form: 161/72
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