Add 12/15 and 40/49
12/15 + 40/49 is 396/245.
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,
12/15 = 12 × 49/15 × 49 = 588/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
40/49 = 40 × 15/49 × 15 = 600/735 - Add the two like fractions:
588/735 + 600/735 = 588 + 600/735 = 1188/735 - 1188/735 simplified gives 396/245
- So, 12/15 + 40/49 = 396/245
In mixed form: 1151/245
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