Add 10/45 and 35/28
1st number: 10/45, 2nd number: 1 7/28
10/45 + 35/28 is 53/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
10/45 = 10 × 28/45 × 28 = 280/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
35/28 = 35 × 45/28 × 45 = 1575/1260 - Add the two like fractions:
280/1260 + 1575/1260 = 280 + 1575/1260 = 1855/1260 - 1855/1260 simplified gives 53/36
- So, 10/45 + 35/28 = 53/36
In mixed form: 117/36
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