Add 24/42 and 49/20
1st number: 24/42, 2nd number: 2 9/20
24/42 + 49/20 is 423/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
24/42 = 24 × 10/42 × 10 = 240/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Add the two like fractions:
240/420 + 1029/420 = 240 + 1029/420 = 1269/420 - 1269/420 simplified gives 423/140
- So, 24/42 + 49/20 = 423/140
In mixed form: 33/140
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