Add 40/60 and 75/27
1st number: 40/60, 2nd number: 2 21/27
40/60 + 75/27 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 60 × 9 = 540,
40/60 = 40 × 9/60 × 9 = 360/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
75/27 = 75 × 20/27 × 20 = 1500/540 - Add the two like fractions:
360/540 + 1500/540 = 360 + 1500/540 = 1860/540 - 1860/540 simplified gives 31/9
- So, 40/60 + 75/27 = 31/9
In mixed form: 34/9
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