Add 30/27 and 75/28
1st number: 1 3/27, 2nd number: 2 19/28
30/27 + 75/28 is 955/252.
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,
30/27 = 30 × 28/27 × 28 = 840/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
75/28 = 75 × 27/28 × 27 = 2025/756 - Add the two like fractions:
840/756 + 2025/756 = 840 + 2025/756 = 2865/756 - 2865/756 simplified gives 955/252
- So, 30/27 + 75/28 = 955/252
In mixed form: 3199/252
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