Add 30/14 and 75/18
1st number: 2 2/14, 2nd number: 4 3/18
30/14 + 75/18 is 265/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 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 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126 - Add the two like fractions:
270/126 + 525/126 = 270 + 525/126 = 795/126 - 795/126 simplified gives 265/42
- So, 30/14 + 75/18 = 265/42
In mixed form: 613/42
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