Add 30/27 and 45/21
1st number: 1 3/27, 2nd number: 2 3/21
30/27 + 45/21 is 205/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
45/21 = 45 × 9/21 × 9 = 405/189 - Add the two like fractions:
210/189 + 405/189 = 210 + 405/189 = 615/189 - 615/189 simplified gives 205/63
- So, 30/27 + 45/21 = 205/63
In mixed form: 316/63
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