Add 75/45 and 4/84
1st number: 1 30/45, 2nd number: 4/84
75/45 + 4/84 is 12/7.
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,
4/84 = 4 × 15/84 × 15 = 60/1260 - Add the two like fractions:
2100/1260 + 60/1260 = 2100 + 60/1260 = 2160/1260 - 2160/1260 simplified gives 12/7
- So, 75/45 + 4/84 = 12/7
In mixed form: 15/7
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