Dividing fractions can seem tricky, especially when the division involves mixed numbers, which contain both whole numbers and fractions. But with a step-by-step approach, dividing a number by a fraction with a mixed number divisor is totally manageable.

## What is 28 divided by 5 5/6?

*28 divided by 5 5/6 is equal to 4 and 1/3 or as a mixed number 4 1/3. To obtain this result, you can convert the mixed number 5 5/6 into an improper fraction, which is 35/6, and then perform the division: 28 ÷ (35/6) = 28 * (6/35) = 4 1/3.*

Let’s walk through dividing 28 by 5 5/6 to see the process.

First, we’ll rewrite the mixed number divisor 5 5/6 as an improper fraction. To do this, convert the whole number 5 to a fraction with the same denominator and add it to the existing fraction:

5 = 30/6 30/6 + 5/6 = 35/6

So 5 5/6 rewritten as an improper fraction is 35/6.

Now we can set up our division problem:

28 / 35/6

When dividing by a fraction, we flip the divisor and multiply:

28 x 6/35

To multiply fractions, we multiply the numerators and multiply the denominators:

28 x 6 = 168 35 x 6 = 210

Therefore, 28 divided by 5 5/6 = 168/210

But we’re not done yet! The question asks us to express the answer as a mixed number.

To convert an improper fraction to a mixed number, we divide the numerator by the denominator:

168/210 = 0 with a remainder of 168

The whole number is 0. The remainder becomes our new numerator. The original denominator stays the same.

So 168/210 converts to the mixed number 0 168/210

Therefore, the full step-by-step solution is:

28 divided by 5 5/6 = 28 divided by 35/6 = 28 x 6/35 = 168/210 = 0 168/210

Dividing mixed numbers takes a few steps, but following this process will help you arrive at the correct solution every time. Converting to improper fractions, flipping the divisor to multiply, simplifying, and converting back to a mixed number allows you to accurately divide by any fraction. With practice, dividing fractions becomes second nature. Mastering fraction division gives you a key math skill for higher math, science, and beyond!

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