Add 21/14 and 9/4
1st number: 1 7/14, 2nd number: 2 1/4
21/14 + 9/4 is 15/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
9/4 = 9 × 7/4 × 7 = 63/28 - Add the two like fractions:
42/28 + 63/28 = 42 + 63/28 = 105/28 - 105/28 simplified gives 15/4
- So, 21/14 + 9/4 = 15/4
In mixed form: 33/4
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