Add 40/27 and 45/21
1st number: 1 13/27, 2nd number: 2 3/21
40/27 + 45/21 is 685/189.
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,
40/27 = 40 × 7/27 × 7 = 280/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
45/21 = 45 × 9/21 × 9 = 405/189 - Add the two like fractions:
280/189 + 405/189 = 280 + 405/189 = 685/189 - So, 40/27 + 45/21 = 685/189
In mixed form: 3118/189
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