Add 15/20 and 75/42
1st number: 15/20, 2nd number: 1 33/42
15/20 + 75/42 is 71/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
15/20 = 15 × 21/20 × 21 = 315/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420 - Add the two like fractions:
315/420 + 750/420 = 315 + 750/420 = 1065/420 - 1065/420 simplified gives 71/28
- So, 15/20 + 75/42 = 71/28
In mixed form: 215/28
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