Add 42/49 and 8/30
42/49 + 8/30 is 118/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
8/30 = 8 × 49/30 × 49 = 392/1470 - Add the two like fractions:
1260/1470 + 392/1470 = 1260 + 392/1470 = 1652/1470 - 1652/1470 simplified gives 118/105
- So, 42/49 + 8/30 = 118/105
In mixed form: 113/105
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