Add 20/30 and 45/42
1st number: 20/30, 2nd number: 1 3/42
20/30 + 45/42 is 73/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
20/30 = 20 × 7/30 × 7 = 140/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
140/210 + 225/210 = 140 + 225/210 = 365/210 - 365/210 simplified gives 73/42
- So, 20/30 + 45/42 = 73/42
In mixed form: 131/42
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