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!
GEG Calculators is a comprehensive online platform that offers a wide range of calculators to cater to various needs. With over 300 calculators covering finance, health, science, mathematics, and more, GEG Calculators provides users with accurate and convenient tools for everyday calculations. The website’s user-friendly interface ensures easy navigation and accessibility, making it suitable for people from all walks of life. Whether it’s financial planning, health assessments, or educational purposes, GEG Calculators has a calculator to suit every requirement. With its reliable and up-to-date calculations, GEG Calculators has become a go-to resource for individuals, professionals, and students seeking quick and precise results for their calculations.