Add 42/84 and 49/30
1st number: 42/84, 2nd number: 1 19/30
42/84 + 49/30 is 32/15.
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,
42/84 = 42 × 5/84 × 5 = 210/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420 - Add the two like fractions:
210/420 + 686/420 = 210 + 686/420 = 896/420 - 896/420 simplified gives 32/15
- So, 42/84 + 49/30 = 32/15
In mixed form: 22/15
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