Add 30/36 and 45/56
30/36 + 45/56 is 275/168.
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,
30/36 = 30 × 14/36 × 14 = 420/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
45/56 = 45 × 9/56 × 9 = 405/504 - Add the two like fractions:
420/504 + 405/504 = 420 + 405/504 = 825/504 - 825/504 simplified gives 275/168
- So, 30/36 + 45/56 = 275/168
In mixed form: 1107/168
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