Add 15/30 and 35/49
15/30 + 35/49 is 17/14.
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,
15/30 = 15 × 49/30 × 49 = 735/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Add the two like fractions:
735/1470 + 1050/1470 = 735 + 1050/1470 = 1785/1470 - 1785/1470 simplified gives 17/14
- So, 15/30 + 35/49 = 17/14
In mixed form: 13/14
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