Add 10/20 and 42/49
10/20 + 42/49 is 19/14.
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,
10/20 = 10 × 49/20 × 49 = 490/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
42/49 = 42 × 20/49 × 20 = 840/980 - Add the two like fractions:
490/980 + 840/980 = 490 + 840/980 = 1330/980 - 1330/980 simplified gives 19/14
- So, 10/20 + 42/49 = 19/14
In mixed form: 15/14
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