Add 3/40 and 14/42
3/40 + 14/42 is 49/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
3/40 = 3 × 21/40 × 21 = 63/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
14/42 = 14 × 20/42 × 20 = 280/840 - Add the two like fractions:
63/840 + 280/840 = 63 + 280/840 = 343/840 - 343/840 simplified gives 49/120
- So, 3/40 + 14/42 = 49/120
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