Add 6/30 and 42/49
6/30 + 42/49 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
6/30 = 6 × 49/30 × 49 = 294/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Add the two like fractions:
294/1470 + 1260/1470 = 294 + 1260/1470 = 1554/1470 - 1554/1470 simplified gives 37/35
- So, 6/30 + 42/49 = 37/35
In mixed form: 12/35
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