Add 75/7 and 14/40
1st number: 10 5/7, 2nd number: 14/40
75/7 + 14/40 is 1549/140.
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,
75/7 = 75 × 40/7 × 40 = 3000/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
14/40 = 14 × 7/40 × 7 = 98/280 - Add the two like fractions:
3000/280 + 98/280 = 3000 + 98/280 = 3098/280 - 3098/280 simplified gives 1549/140
- So, 75/7 + 14/40 = 1549/140
In mixed form: 119/140
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