Add 40/20 and 49/42
1st number: 2 0/20, 2nd number: 1 7/42
40/20 + 49/42 is 19/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
40/20 = 40 × 21/20 × 21 = 840/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
49/42 = 49 × 10/42 × 10 = 490/420 - Add the two like fractions:
840/420 + 490/420 = 840 + 490/420 = 1330/420 - 1330/420 simplified gives 19/6
- So, 40/20 + 49/42 = 19/6
In mixed form: 31/6
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