Add 75/20 and 1/42
1st number: 3 15/20, 2nd number: 1/42
75/20 + 1/42 is 317/84.
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,
75/20 = 75 × 21/20 × 21 = 1575/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
1/42 = 1 × 10/42 × 10 = 10/420 - Add the two like fractions:
1575/420 + 10/420 = 1575 + 10/420 = 1585/420 - 1585/420 simplified gives 317/84
- So, 75/20 + 1/42 = 317/84
In mixed form: 365/84
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