Add 9/20 and 75/27
1st number: 9/20, 2nd number: 2 21/27
9/20 + 75/27 is 581/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
9/20 = 9 × 27/20 × 27 = 243/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
75/27 = 75 × 20/27 × 20 = 1500/540 - Add the two like fractions:
243/540 + 1500/540 = 243 + 1500/540 = 1743/540 - 1743/540 simplified gives 581/180
- So, 9/20 + 75/27 = 581/180
In mixed form: 341/180
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