Add 49/14 and 9/4
1st number: 3 7/14, 2nd number: 2 1/4
49/14 + 9/4 is 23/4.
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,
49/14 = 49 × 2/14 × 2 = 98/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
9/4 = 9 × 7/4 × 7 = 63/28 - Add the two like fractions:
98/28 + 63/28 = 98 + 63/28 = 161/28 - 161/28 simplified gives 23/4
- So, 49/14 + 9/4 = 23/4
In mixed form: 53/4
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