Add 45/75 and 20/27
45/75 + 20/27 is 181/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
45/75 = 45 × 9/75 × 9 = 405/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
20/27 = 20 × 25/27 × 25 = 500/675 - Add the two like fractions:
405/675 + 500/675 = 405 + 500/675 = 905/675 - 905/675 simplified gives 181/135
- So, 45/75 + 20/27 = 181/135
In mixed form: 146/135
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