Add 75/4 and 45/21
1st number: 18 3/4, 2nd number: 2 3/21
75/4 + 45/21 is 585/28.
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,
75/4 = 75 × 21/4 × 21 = 1575/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
45/21 = 45 × 4/21 × 4 = 180/84 - Add the two like fractions:
1575/84 + 180/84 = 1575 + 180/84 = 1755/84 - 1755/84 simplified gives 585/28
- So, 75/4 + 45/21 = 585/28
In mixed form: 2025/28
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