Add 4/9 and 49/56
4/9 + 49/56 is 95/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 9 × 56 = 504,
4/9 = 4 × 56/9 × 56 = 224/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
49/56 = 49 × 9/56 × 9 = 441/504 - Add the two like fractions:
224/504 + 441/504 = 224 + 441/504 = 665/504 - 665/504 simplified gives 95/72
- So, 4/9 + 49/56 = 95/72
In mixed form: 123/72
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