Add 7/4 and 30/21
1st number: 1 3/4, 2nd number: 1 9/21
7/4 + 30/21 is 89/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
7/4 = 7 × 21/4 × 21 = 147/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Add the two like fractions:
147/84 + 120/84 = 147 + 120/84 = 267/84 - 267/84 simplified gives 89/28
- So, 7/4 + 30/21 = 89/28
In mixed form: 35/28
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