Add 75/27 and 63/7
1st number: 2 21/27, 2nd number: 9 0/7
75/27 + 63/7 is 106/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
63/7 = 63 × 27/7 × 27 = 1701/189 - Add the two like fractions:
525/189 + 1701/189 = 525 + 1701/189 = 2226/189 - 2226/189 simplified gives 106/9
- So, 75/27 + 63/7 = 106/9
In mixed form: 117/9
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