Add 49/40 and 24/27
1st number: 1 9/40, 2nd number: 24/27
49/40 + 24/27 is 761/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
49/40 = 49 × 27/40 × 27 = 1323/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
24/27 = 24 × 40/27 × 40 = 960/1080 - Add the two like fractions:
1323/1080 + 960/1080 = 1323 + 960/1080 = 2283/1080 - 2283/1080 simplified gives 761/360
- So, 49/40 + 24/27 = 761/360
In mixed form: 241/360
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