Add 81/84 and 10/75
81/84 + 10/75 is 461/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
81/84 = 81 × 25/84 × 25 = 2025/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
10/75 = 10 × 28/75 × 28 = 280/2100 - Add the two like fractions:
2025/2100 + 280/2100 = 2025 + 280/2100 = 2305/2100 - 2305/2100 simplified gives 461/420
- So, 81/84 + 10/75 = 461/420
In mixed form: 141/420
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