Add 21/4 and 35/14
1st number: 5 1/4, 2nd number: 2 7/14
21/4 + 35/14 is 31/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
21/4 = 21 × 7/4 × 7 = 147/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
35/14 = 35 × 2/14 × 2 = 70/28 - Add the two like fractions:
147/28 + 70/28 = 147 + 70/28 = 217/28 - 217/28 simplified gives 31/4
- So, 21/4 + 35/14 = 31/4
In mixed form: 73/4
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