Add 84/54 and 49/40
1st number: 1 30/54, 2nd number: 1 9/40
84/54 + 49/40 is 1001/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
84/54 = 84 × 20/54 × 20 = 1680/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
49/40 = 49 × 27/40 × 27 = 1323/1080 - Add the two like fractions:
1680/1080 + 1323/1080 = 1680 + 1323/1080 = 3003/1080 - 3003/1080 simplified gives 1001/360
- So, 84/54 + 49/40 = 1001/360
In mixed form: 2281/360
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