Add 30/14 and 75/63
1st number: 2 2/14, 2nd number: 1 12/63
30/14 + 75/63 is 10/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
75/63 = 75 × 2/63 × 2 = 150/126 - Add the two like fractions:
270/126 + 150/126 = 270 + 150/126 = 420/126 - 420/126 simplified gives 10/3
- So, 30/14 + 75/63 = 10/3
In mixed form: 31/3
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