Add 49/63 and 21/27
49/63 + 21/27 is 14/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 63 × 3 = 189,
49/63 = 49 × 3/63 × 3 = 147/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Add the two like fractions:
147/189 + 147/189 = 147 + 147/189 = 294/189 - 294/189 simplified gives 14/9
- So, 49/63 + 21/27 = 14/9
In mixed form: 15/9
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