Add 40/15 and 24/27
1st number: 2 10/15, 2nd number: 24/27
40/15 + 24/27 is 32/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
40/15 = 40 × 9/15 × 9 = 360/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
24/27 = 24 × 5/27 × 5 = 120/135 - Add the two like fractions:
360/135 + 120/135 = 360 + 120/135 = 480/135 - 480/135 simplified gives 32/9
- So, 40/15 + 24/27 = 32/9
In mixed form: 35/9
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