Add 54/27 and 75/70
1st number: 2 0/27, 2nd number: 1 5/70
54/27 + 75/70 is 43/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
54/27 = 54 × 70/27 × 70 = 3780/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
75/70 = 75 × 27/70 × 27 = 2025/1890 - Add the two like fractions:
3780/1890 + 2025/1890 = 3780 + 2025/1890 = 5805/1890 - 5805/1890 simplified gives 43/14
- So, 54/27 + 75/70 = 43/14
In mixed form: 31/14
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