Add 10/27 and 75/35
1st number: 10/27, 2nd number: 2 5/35
10/27 + 75/35 is 475/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
10/27 = 10 × 35/27 × 35 = 350/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
75/35 = 75 × 27/35 × 27 = 2025/945 - Add the two like fractions:
350/945 + 2025/945 = 350 + 2025/945 = 2375/945 - 2375/945 simplified gives 475/189
- So, 10/27 + 75/35 = 475/189
In mixed form: 297/189
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