Add 75/28 and 45/40
1st number: 2 19/28, 2nd number: 1 5/40
75/28 + 45/40 is 213/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 28 × 10 = 280,
75/28 = 75 × 10/28 × 10 = 750/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
45/40 = 45 × 7/40 × 7 = 315/280 - Add the two like fractions:
750/280 + 315/280 = 750 + 315/280 = 1065/280 - 1065/280 simplified gives 213/56
- So, 75/28 + 45/40 = 213/56
In mixed form: 345/56
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