Add 30/7 and 54/40
1st number: 4 2/7, 2nd number: 1 14/40
30/7 + 54/40 is 789/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
30/7 = 30 × 40/7 × 40 = 1200/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
54/40 = 54 × 7/40 × 7 = 378/280 - Add the two like fractions:
1200/280 + 378/280 = 1200 + 378/280 = 1578/280 - 1578/280 simplified gives 789/140
- So, 30/7 + 54/40 = 789/140
In mixed form: 589/140
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