Add 7/4 and 21/7
1st number: 1 3/4, 2nd number: 3 0/7
7/4 + 21/7 is 19/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
7/4 = 7 × 7/4 × 7 = 49/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
21/7 = 21 × 4/7 × 4 = 84/28 - Add the two like fractions:
49/28 + 84/28 = 49 + 84/28 = 133/28 - 133/28 simplified gives 19/4
- So, 7/4 + 21/7 = 19/4
In mixed form: 43/4
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