Add 36/42 and 49/21
1st number: 36/42, 2nd number: 2 7/21
36/42 + 49/21 is 67/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
36/42 = 36 × 1/42 × 1 = 36/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
49/21 = 49 × 2/21 × 2 = 98/42 - Add the two like fractions:
36/42 + 98/42 = 36 + 98/42 = 134/42 - 134/42 simplified gives 67/21
- So, 36/42 + 49/21 = 67/21
In mixed form: 34/21
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