Add 7/21 and 42/27
1st number: 7/21, 2nd number: 1 15/27
7/21 + 42/27 is 17/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
7/21 = 7 × 9/21 × 9 = 63/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
63/189 + 294/189 = 63 + 294/189 = 357/189 - 357/189 simplified gives 17/9
- So, 7/21 + 42/27 = 17/9
In mixed form: 18/9
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