Add 9/20 and 27/45
9/20 + 27/45 is 21/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
9/20 = 9 × 9/20 × 9 = 81/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180 - Add the two like fractions:
81/180 + 108/180 = 81 + 108/180 = 189/180 - 189/180 simplified gives 21/20
- So, 9/20 + 27/45 = 21/20
In mixed form: 11/20
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