Add 42/21 and 54/49
1st number: 2 0/21, 2nd number: 1 5/49
42/21 + 54/49 is 152/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
42/21 = 42 × 7/21 × 7 = 294/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
54/49 = 54 × 3/49 × 3 = 162/147 - Add the two like fractions:
294/147 + 162/147 = 294 + 162/147 = 456/147 - 456/147 simplified gives 152/49
- So, 42/21 + 54/49 = 152/49
In mixed form: 35/49
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