Add 20/3 and 42/45
1st number: 6 2/3, 2nd number: 42/45
20/3 + 42/45 is 38/5.
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,
20/3 = 20 × 15/3 × 15 = 300/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
42/45 = 42 × 1/45 × 1 = 42/45 - Add the two like fractions:
300/45 + 42/45 = 300 + 42/45 = 342/45 - 342/45 simplified gives 38/5
- So, 20/3 + 42/45 = 38/5
In mixed form: 73/5
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