Add 40/21 and 21/27
1st number: 1 19/21, 2nd number: 21/27
40/21 + 21/27 is 169/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
40/21 = 40 × 9/21 × 9 = 360/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Add the two like fractions:
360/189 + 147/189 = 360 + 147/189 = 507/189 - 507/189 simplified gives 169/63
- So, 40/21 + 21/27 = 169/63
In mixed form: 243/63
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