Add 49/30 and 49/56
1st number: 1 19/30, 2nd number: 49/56
49/30 + 49/56 is 301/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
49/30 = 49 × 28/30 × 28 = 1372/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
1372/840 + 735/840 = 1372 + 735/840 = 2107/840 - 2107/840 simplified gives 301/120
- So, 49/30 + 49/56 = 301/120
In mixed form: 261/120
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