1 1/6 Divided By 7 As A Fraction

2 min read Jun 17, 2024
1 1/6 Divided By 7 As A Fraction

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

  1. Multiply the denominator by the whole number: 6 x 1 = 6
  2. Add the numerator: 6 + 1 = 7
  3. 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:

  1. Flip the second fraction: The reciprocal of 7 is 1/7.
  2. Multiply the first fraction by the flipped second fraction: (7/6) x (1/7)
  3. Simplify: (7 x 1) / (6 x 7) = 7/42
  4. Reduce to lowest terms: 7/42 = 1/6

Therefore, 1 1/6 divided by 7 is equal to 1/6.

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