Add 10/15 and 35/49
10/15 + 35/49 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
10/15 = 10 × 49/15 × 49 = 490/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
35/49 = 35 × 15/49 × 15 = 525/735 - Add the two like fractions:
490/735 + 525/735 = 490 + 525/735 = 1015/735 - 1015/735 simplified gives 29/21
- So, 10/15 + 35/49 = 29/21
In mixed form: 18/21
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