Add 36/42 and 9/21
36/42 + 9/21 is 9/7.
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,
9/21 = 9 × 2/21 × 2 = 18/42 - Add the two like fractions:
36/42 + 18/42 = 36 + 18/42 = 54/42 - 54/42 simplified gives 9/7
- So, 36/42 + 9/21 = 9/7
In mixed form: 12/7
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