Add 10/45 and 42/28
1st number: 10/45, 2nd number: 1 14/28
10/45 + 42/28 is 31/18.
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,
42/28 = 42 × 45/28 × 45 = 1890/1260 - Add the two like fractions:
280/1260 + 1890/1260 = 280 + 1890/1260 = 2170/1260 - 2170/1260 simplified gives 31/18
- So, 10/45 + 42/28 = 31/18
In mixed form: 113/18
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