Add 49/84 and 20/30
49/84 + 20/30 is 5/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
49/84 = 49 × 5/84 × 5 = 245/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
20/30 = 20 × 14/30 × 14 = 280/420 - Add the two like fractions:
245/420 + 280/420 = 245 + 280/420 = 525/420 - 525/420 simplified gives 5/4
- So, 49/84 + 20/30 = 5/4
In mixed form: 11/4
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