Add 9/4 and 21/42
1st number: 2 1/4, 2nd number: 21/42
9/4 + 21/42 is 11/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
21/42 = 21 × 2/42 × 2 = 42/84 - Add the two like fractions:
189/84 + 42/84 = 189 + 42/84 = 231/84 - 231/84 simplified gives 11/4
- So, 9/4 + 21/42 = 11/4
In mixed form: 23/4
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