Add 9/4 and 21/14
1st number: 2 1/4, 2nd number: 1 7/14
9/4 + 21/14 is 15/4.
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,
9/4 = 9 × 7/4 × 7 = 63/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28 - Add the two like fractions:
63/28 + 42/28 = 63 + 42/28 = 105/28 - 105/28 simplified gives 15/4
- So, 9/4 + 21/14 = 15/4
In mixed form: 33/4
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