Add 30/84 and 75/27
1st number: 30/84, 2nd number: 2 21/27
30/84 + 75/27 is 395/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
75/27 = 75 × 28/27 × 28 = 2100/756 - Add the two like fractions:
270/756 + 2100/756 = 270 + 2100/756 = 2370/756 - 2370/756 simplified gives 395/126
- So, 30/84 + 75/27 = 395/126
In mixed form: 317/126
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