Add 30/27 and 5/42
1st number: 1 3/27, 2nd number: 5/42
30/27 + 5/42 is 155/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
30/27 = 30 × 14/27 × 14 = 420/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
5/42 = 5 × 9/42 × 9 = 45/378 - Add the two like fractions:
420/378 + 45/378 = 420 + 45/378 = 465/378 - 465/378 simplified gives 155/126
- So, 30/27 + 5/42 = 155/126
In mixed form: 129/126
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