Add 27/20 and 42/49
1st number: 1 7/20, 2nd number: 42/49
27/20 + 42/49 is 309/140.
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,
27/20 = 27 × 49/20 × 49 = 1323/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
42/49 = 42 × 20/49 × 20 = 840/980 - Add the two like fractions:
1323/980 + 840/980 = 1323 + 840/980 = 2163/980 - 2163/980 simplified gives 309/140
- So, 27/20 + 42/49 = 309/140
In mixed form: 229/140
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