Add 40/7 and 45/20
1st number: 5 5/7, 2nd number: 2 5/20
40/7 + 45/20 is 223/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 7 × 20 = 140,
40/7 = 40 × 20/7 × 20 = 800/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
45/20 = 45 × 7/20 × 7 = 315/140 - Add the two like fractions:
800/140 + 315/140 = 800 + 315/140 = 1115/140 - 1115/140 simplified gives 223/28
- So, 40/7 + 45/20 = 223/28
In mixed form: 727/28
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