Add 10/7 and 75/27
1st number: 1 3/7, 2nd number: 2 21/27
10/7 + 75/27 is 265/63.
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,
10/7 = 10 × 27/7 × 27 = 270/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Add the two like fractions:
270/189 + 525/189 = 270 + 525/189 = 795/189 - 795/189 simplified gives 265/63
- So, 10/7 + 75/27 = 265/63
In mixed form: 413/63
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