Add 35/75 and 27/28
35/75 + 27/28 is 601/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
35/75 = 35 × 28/75 × 28 = 980/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
27/28 = 27 × 75/28 × 75 = 2025/2100 - Add the two like fractions:
980/2100 + 2025/2100 = 980 + 2025/2100 = 3005/2100 - 3005/2100 simplified gives 601/420
- So, 35/75 + 27/28 = 601/420
In mixed form: 1181/420
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