Add 10/21 and 40/54
10/21 + 40/54 is 230/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
10/21 = 10 × 18/21 × 18 = 180/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Add the two like fractions:
180/378 + 280/378 = 180 + 280/378 = 460/378 - 460/378 simplified gives 230/189
- So, 10/21 + 40/54 = 230/189
In mixed form: 141/189
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