Add 75/4 and 30/42
1st number: 18 3/4, 2nd number: 30/42
75/4 + 30/42 is 545/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
75/4 = 75 × 21/4 × 21 = 1575/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Add the two like fractions:
1575/84 + 60/84 = 1575 + 60/84 = 1635/84 - 1635/84 simplified gives 545/28
- So, 75/4 + 30/42 = 545/28
In mixed form: 1913/28
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