Add 40/20 and 28/45
1st number: 2 0/20, 2nd number: 28/45
40/20 + 28/45 is 118/45.
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,
40/20 = 40 × 9/20 × 9 = 360/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
28/45 = 28 × 4/45 × 4 = 112/180 - Add the two like fractions:
360/180 + 112/180 = 360 + 112/180 = 472/180 - 472/180 simplified gives 118/45
- So, 40/20 + 28/45 = 118/45
In mixed form: 228/45
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