Add 75/70 and 14/27
1st number: 1 5/70, 2nd number: 14/27
75/70 + 14/27 is 601/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 27 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 70 × 27 = 1890,
75/70 = 75 × 27/70 × 27 = 2025/1890 - Likewise, for the 2nd fraction, since 27 × 70 = 1890,
14/27 = 14 × 70/27 × 70 = 980/1890 - Add the two like fractions:
2025/1890 + 980/1890 = 2025 + 980/1890 = 3005/1890 - 3005/1890 simplified gives 601/378
- So, 75/70 + 14/27 = 601/378
In mixed form: 1223/378
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