Add 40/24 and 75/27
1st number: 1 16/24, 2nd number: 2 21/27
40/24 + 75/27 is 40/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
40/24 = 40 × 9/24 × 9 = 360/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
75/27 = 75 × 8/27 × 8 = 600/216 - Add the two like fractions:
360/216 + 600/216 = 360 + 600/216 = 960/216 - 960/216 simplified gives 40/9
- So, 40/24 + 75/27 = 40/9
In mixed form: 44/9
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