Add 30/54 and 75/14
1st number: 30/54, 2nd number: 5 5/14
30/54 + 75/14 is 745/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
30/54 = 30 × 7/54 × 7 = 210/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
75/14 = 75 × 27/14 × 27 = 2025/378 - Add the two like fractions:
210/378 + 2025/378 = 210 + 2025/378 = 2235/378 - 2235/378 simplified gives 745/126
- So, 30/54 + 75/14 = 745/126
In mixed form: 5115/126
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