Add 42/81 and 25/84
42/81 + 25/84 is 617/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 84 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 81 × 28 = 2268,
42/81 = 42 × 28/81 × 28 = 1176/2268 - Likewise, for the 2nd fraction, since 84 × 27 = 2268,
25/84 = 25 × 27/84 × 27 = 675/2268 - Add the two like fractions:
1176/2268 + 675/2268 = 1176 + 675/2268 = 1851/2268 - 1851/2268 simplified gives 617/756
- So, 42/81 + 25/84 = 617/756
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