Add 10/75 and 75/28
1st number: 10/75, 2nd number: 2 19/28
10/75 + 75/28 is 1181/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 28 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
10/75 = 10 × 28/75 × 28 = 280/2100 - Likewise, for the 2nd fraction, since 28 × 75 = 2100,
75/28 = 75 × 75/28 × 75 = 5625/2100 - Add the two like fractions:
280/2100 + 5625/2100 = 280 + 5625/2100 = 5905/2100 - 5905/2100 simplified gives 1181/420
- So, 10/75 + 75/28 = 1181/420
In mixed form: 2341/420
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