Add 10/84 and 75/27
1st number: 10/84, 2nd number: 2 21/27
10/84 + 75/27 is 365/126.
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,
75/27 = 75 × 28/27 × 28 = 2100/756 - Add the two like fractions:
90/756 + 2100/756 = 90 + 2100/756 = 2190/756 - 2190/756 simplified gives 365/126
- So, 10/84 + 75/27 = 365/126
In mixed form: 2113/126
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