Add 27/24 and 40/49
1st number: 1 3/24, 2nd number: 40/49
27/24 + 40/49 is 761/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
27/24 = 27 × 49/24 × 49 = 1323/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
40/49 = 40 × 24/49 × 24 = 960/1176 - Add the two like fractions:
1323/1176 + 960/1176 = 1323 + 960/1176 = 2283/1176 - 2283/1176 simplified gives 761/392
- So, 27/24 + 40/49 = 761/392
In mixed form: 1369/392
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