Add 30/21 and 75/4
1st number: 1 9/21, 2nd number: 18 3/4
30/21 + 75/4 is 565/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
75/4 = 75 × 21/4 × 21 = 1575/84 - Add the two like fractions:
120/84 + 1575/84 = 120 + 1575/84 = 1695/84 - 1695/84 simplified gives 565/28
- So, 30/21 + 75/4 = 565/28
In mixed form: 205/28
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