Add 4/7 and 21/27
4/7 + 21/27 is 85/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
4/7 = 4 × 27/7 × 27 = 108/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Add the two like fractions:
108/189 + 147/189 = 108 + 147/189 = 255/189 - 255/189 simplified gives 85/63
- So, 4/7 + 21/27 = 85/63
In mixed form: 122/63
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