Add 30/42 and 42/9
1st number: 30/42, 2nd number: 4 6/9
30/42 + 42/9 is 113/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
42/9 = 42 × 14/9 × 14 = 588/126 - Add the two like fractions:
90/126 + 588/126 = 90 + 588/126 = 678/126 - 678/126 simplified gives 113/21
- So, 30/42 + 42/9 = 113/21
In mixed form: 58/21
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