Final answer:
To convert the mixed number 1 6/8 to an improper fraction, multiply the whole number by the denominator, add the numerator to get 14/8, then simplify by dividing both the numerator and denominator by 2 to get 7/4.
Step-by-step explanation:
To convert the mixed number 1 6/8 to an improper fraction, you start by multiplying the whole number by the denominator of the fraction and then add the numerator of the fraction. In this case:
- Multiply 1 (the whole number) by 8 (the denominator): 1 × 8 = 8.
- Add the result to the numerator 6: 8 + 6 = 14.
- Place the result over the original denominator to get the improper fraction: 14/8.
Finally, since 14 and 8 have a common factor, you can simplify this fraction by dividing both the numerator and the denominator by 2, the greatest common divisor:
- Divide the numerator by 2: 14 ÷ 2 = 7.
- Divide the denominator by 2: 8 ÷ 2 = 4.
Therefore, the simplified form of the improper fraction is 7/4.