Add 42/27 and 20/21
1st number: 1 15/27, 2nd number: 20/21
42/27 + 20/21 is 158/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
20/21 = 20 × 9/21 × 9 = 180/189 - Add the two like fractions:
294/189 + 180/189 = 294 + 180/189 = 474/189 - 474/189 simplified gives 158/63
- So, 42/27 + 20/21 = 158/63
In mixed form: 232/63
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