Add 36/21 and 21/42
1st number: 1 15/21, 2nd number: 21/42
36/21 + 21/42 is 31/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
36/21 = 36 × 2/21 × 2 = 72/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
21/42 = 21 × 1/42 × 1 = 21/42 - Add the two like fractions:
72/42 + 21/42 = 72 + 21/42 = 93/42 - 93/42 simplified gives 31/14
- So, 36/21 + 21/42 = 31/14
In mixed form: 23/14
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