Add 45/4 and 75/21
1st number: 11 1/4, 2nd number: 3 12/21
45/4 + 75/21 is 415/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
45/4 = 45 × 21/4 × 21 = 945/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
75/21 = 75 × 4/21 × 4 = 300/84 - Add the two like fractions:
945/84 + 300/84 = 945 + 300/84 = 1245/84 - 1245/84 simplified gives 415/28
- So, 45/4 + 75/21 = 415/28
In mixed form: 1423/28
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