Add 75/45 and 21/84
1st number: 1 30/45, 2nd number: 21/84
75/45 + 21/84 is 23/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
75/45 = 75 × 28/45 × 28 = 2100/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
21/84 = 21 × 15/84 × 15 = 315/1260 - Add the two like fractions:
2100/1260 + 315/1260 = 2100 + 315/1260 = 2415/1260 - 2415/1260 simplified gives 23/12
- So, 75/45 + 21/84 = 23/12
In mixed form: 111/12
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