Add 30/18 and 75/7
1st number: 1 12/18, 2nd number: 10 5/7
30/18 + 75/7 is 260/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 7 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
30/18 = 30 × 7/18 × 7 = 210/126 - Likewise, for the 2nd fraction, since 7 × 18 = 126,
75/7 = 75 × 18/7 × 18 = 1350/126 - Add the two like fractions:
210/126 + 1350/126 = 210 + 1350/126 = 1560/126 - 1560/126 simplified gives 260/21
- So, 30/18 + 75/7 = 260/21
In mixed form: 128/21
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