Add 14/20 and 42/49
14/20 + 42/49 is 109/70.
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,
14/20 = 14 × 49/20 × 49 = 686/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
42/49 = 42 × 20/49 × 20 = 840/980 - Add the two like fractions:
686/980 + 840/980 = 686 + 840/980 = 1526/980 - 1526/980 simplified gives 109/70
- So, 14/20 + 42/49 = 109/70
In mixed form: 139/70
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