Add 30/84 and 49/20
1st number: 30/84, 2nd number: 2 9/20
30/84 + 49/20 is 393/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Add the two like fractions:
150/420 + 1029/420 = 150 + 1029/420 = 1179/420 - 1179/420 simplified gives 393/140
- So, 30/84 + 49/20 = 393/140
In mixed form: 2113/140
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