Add 48/27 and 49/40
1st number: 1 21/27, 2nd number: 1 9/40
48/27 + 49/40 is 1081/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
48/27 = 48 × 40/27 × 40 = 1920/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
49/40 = 49 × 27/40 × 27 = 1323/1080 - Add the two like fractions:
1920/1080 + 1323/1080 = 1920 + 1323/1080 = 3243/1080 - 3243/1080 simplified gives 1081/360
- So, 48/27 + 49/40 = 1081/360
In mixed form: 31/360
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