Add 49/30 and 30/84
1st number: 1 19/30, 2nd number: 30/84
49/30 + 30/84 is 209/105.
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,
49/30 = 49 × 14/30 × 14 = 686/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Add the two like fractions:
686/420 + 150/420 = 686 + 150/420 = 836/420 - 836/420 simplified gives 209/105
- So, 49/30 + 30/84 = 209/105
In mixed form: 1104/105
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