Add 40/9 and 75/20
1st number: 4 4/9, 2nd number: 3 15/20
40/9 + 75/20 is 295/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
40/9 = 40 × 20/9 × 20 = 800/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
75/20 = 75 × 9/20 × 9 = 675/180 - Add the two like fractions:
800/180 + 675/180 = 800 + 675/180 = 1475/180 - 1475/180 simplified gives 295/36
- So, 40/9 + 75/20 = 295/36
In mixed form: 87/36
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