Add 40/63 and 21/81
40/63 + 21/81 is 169/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 63 × 9 = 567,
40/63 = 40 × 9/63 × 9 = 360/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
21/81 = 21 × 7/81 × 7 = 147/567 - Add the two like fractions:
360/567 + 147/567 = 360 + 147/567 = 507/567 - 507/567 simplified gives 169/189
- So, 40/63 + 21/81 = 169/189
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