Add 75/28 and 42/81
1st number: 2 19/28, 2nd number: 42/81
75/28 + 42/81 is 2417/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 28 × 81 = 2268,
75/28 = 75 × 81/28 × 81 = 6075/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
42/81 = 42 × 28/81 × 28 = 1176/2268 - Add the two like fractions:
6075/2268 + 1176/2268 = 6075 + 1176/2268 = 7251/2268 - 7251/2268 simplified gives 2417/756
- So, 75/28 + 42/81 = 2417/756
In mixed form: 3149/756
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