Add 75/21 and 10/9
1st number: 3 12/21, 2nd number: 1 1/9
75/21 + 10/9 is 295/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
75/21 = 75 × 3/21 × 3 = 225/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
10/9 = 10 × 7/9 × 7 = 70/63 - Add the two like fractions:
225/63 + 70/63 = 225 + 70/63 = 295/63 - So, 75/21 + 10/9 = 295/63
In mixed form: 443/63
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