Add 10/27 and 20/28
10/27 + 20/28 is 205/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
10/27 = 10 × 28/27 × 28 = 280/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
20/28 = 20 × 27/28 × 27 = 540/756 - Add the two like fractions:
280/756 + 540/756 = 280 + 540/756 = 820/756 - 820/756 simplified gives 205/189
- So, 10/27 + 20/28 = 205/189
In mixed form: 116/189
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