Add 20/42 and 12/49
20/42 + 12/49 is 106/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
20/42 = 20 × 7/42 × 7 = 140/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
12/49 = 12 × 6/49 × 6 = 72/294 - Add the two like fractions:
140/294 + 72/294 = 140 + 72/294 = 212/294 - 212/294 simplified gives 106/147
- So, 20/42 + 12/49 = 106/147
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