Add 27/21 and 42/18
1st number: 1 6/21, 2nd number: 2 6/18
27/21 + 42/18 is 76/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
27/21 = 27 × 6/21 × 6 = 162/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
42/18 = 42 × 7/18 × 7 = 294/126 - Add the two like fractions:
162/126 + 294/126 = 162 + 294/126 = 456/126 - 456/126 simplified gives 76/21
- So, 27/21 + 42/18 = 76/21
In mixed form: 313/21
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