Add 30/54 and 32/42
30/54 + 32/42 is 83/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
30/54 = 30 × 7/54 × 7 = 210/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
32/42 = 32 × 9/42 × 9 = 288/378 - Add the two like fractions:
210/378 + 288/378 = 210 + 288/378 = 498/378 - 498/378 simplified gives 83/63
- So, 30/54 + 32/42 = 83/63
In mixed form: 120/63
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