Add 10/3 and 40/45
1st number: 3 1/3, 2nd number: 40/45
10/3 + 40/45 is 38/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 3 × 15 = 45,
10/3 = 10 × 15/3 × 15 = 150/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
40/45 = 40 × 1/45 × 1 = 40/45 - Add the two like fractions:
150/45 + 40/45 = 150 + 40/45 = 190/45 - 190/45 simplified gives 38/9
- So, 10/3 + 40/45 = 38/9
In mixed form: 42/9
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