Add 10/84 and 84/27
1st number: 10/84, 2nd number: 3 3/27
10/84 + 84/27 is 407/126.
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,
10/84 = 10 × 9/84 × 9 = 90/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
84/27 = 84 × 28/27 × 28 = 2352/756 - Add the two like fractions:
90/756 + 2352/756 = 90 + 2352/756 = 2442/756 - 2442/756 simplified gives 407/126
- So, 10/84 + 84/27 = 407/126
In mixed form: 329/126
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