Add 40/84 and 10/20
40/84 + 10/20 is 41/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
10/20 = 10 × 21/20 × 21 = 210/420 - Add the two like fractions:
200/420 + 210/420 = 200 + 210/420 = 410/420 - 410/420 simplified gives 41/42
- So, 40/84 + 10/20 = 41/42
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