Add 40/45 and 18/20
40/45 + 18/20 is 161/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
18/20 = 18 × 9/20 × 9 = 162/180 - Add the two like fractions:
160/180 + 162/180 = 160 + 162/180 = 322/180 - 322/180 simplified gives 161/90
- So, 40/45 + 18/20 = 161/90
In mixed form: 171/90
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