Add 7/30 and 49/84
7/30 + 49/84 is 49/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
7/30 = 7 × 14/30 × 14 = 98/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
49/84 = 49 × 5/84 × 5 = 245/420 - Add the two like fractions:
98/420 + 245/420 = 98 + 245/420 = 343/420 - 343/420 simplified gives 49/60
- So, 7/30 + 49/84 = 49/60
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