Add 45/21 and 49/20
1st number: 2 3/21, 2nd number: 2 9/20
45/21 + 49/20 is 643/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 21 × 20 = 420,
45/21 = 45 × 20/21 × 20 = 900/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Add the two like fractions:
900/420 + 1029/420 = 900 + 1029/420 = 1929/420 - 1929/420 simplified gives 643/140
- So, 45/21 + 49/20 = 643/140
In mixed form: 483/140
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