Add 15/20 and 20/49
15/20 + 20/49 is 227/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 49 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 20 × 49 = 980,
15/20 = 15 × 49/20 × 49 = 735/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
20/49 = 20 × 20/49 × 20 = 400/980 - Add the two like fractions:
735/980 + 400/980 = 735 + 400/980 = 1135/980 - 1135/980 simplified gives 227/196
- So, 15/20 + 20/49 = 227/196
In mixed form: 131/196
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