Dividing Fractions: 1 1/6 Divided by 7
This article will guide you through the steps of dividing the mixed number 1 1/6 by the whole number 7.
Understanding the Problem
We need to divide a mixed number (1 1/6) by a whole number (7). To perform this division, we need to convert the mixed number into an improper fraction.
Converting the Mixed Number
- Multiply the denominator by the whole number: 6 x 1 = 6
- Add the numerator: 6 + 1 = 7
- Keep the same denominator: 7/6
Now we have the improper fraction 7/6 representing the mixed number 1 1/6.
Dividing Fractions
To divide fractions, we follow these steps:
- Flip the second fraction: The reciprocal of 7 is 1/7.
- Multiply the first fraction by the flipped second fraction: (7/6) x (1/7)
- Simplify: (7 x 1) / (6 x 7) = 7/42
- Reduce to lowest terms: 7/42 = 1/6
Therefore, 1 1/6 divided by 7 is equal to 1/6.