Add 75/7 and 25/40
1st number: 10 5/7, 2nd number: 25/40
75/7 + 25/40 is 635/56.
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,
25/40 = 25 × 7/40 × 7 = 175/280 - Add the two like fractions:
3000/280 + 175/280 = 3000 + 175/280 = 3175/280 - 3175/280 simplified gives 635/56
- So, 75/7 + 25/40 = 635/56
In mixed form: 1119/56
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