Add 36/84 and 49/20
1st number: 36/84, 2nd number: 2 9/20
36/84 + 49/20 is 403/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
36/84 = 36 × 5/84 × 5 = 180/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Add the two like fractions:
180/420 + 1029/420 = 180 + 1029/420 = 1209/420 - 1209/420 simplified gives 403/140
- So, 36/84 + 49/20 = 403/140
In mixed form: 2123/140
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