Add 10/21 and 20/40
10/21 + 20/40 is 41/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
10/21 = 10 × 40/21 × 40 = 400/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
20/40 = 20 × 21/40 × 21 = 420/840 - Add the two like fractions:
400/840 + 420/840 = 400 + 420/840 = 820/840 - 820/840 simplified gives 41/42
- So, 10/21 + 20/40 = 41/42
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