Add 7/30 and 49/56
7/30 + 49/56 is 133/120.
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,
7/30 = 7 × 28/30 × 28 = 196/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
196/840 + 735/840 = 196 + 735/840 = 931/840 - 931/840 simplified gives 133/120
- So, 7/30 + 49/56 = 133/120
In mixed form: 113/120
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