Add 54/84 and 75/45
1st number: 54/84, 2nd number: 1 30/45
54/84 + 75/45 is 97/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
54/84 = 54 × 15/84 × 15 = 810/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
75/45 = 75 × 28/45 × 28 = 2100/1260 - Add the two like fractions:
810/1260 + 2100/1260 = 810 + 2100/1260 = 2910/1260 - 2910/1260 simplified gives 97/42
- So, 54/84 + 75/45 = 97/42
In mixed form: 213/42
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