Math Tutor Explains: What is 20 Divided by 7/9?

In this problem we will divide a whole number, 20, by a fraction, 7/9. As a math tutor, I will walk you through this problem step-by-step so that you can see the full process of dividing a whole number by a fraction.

What is 20 Divided by 7/9?

Methods

Math tutor breaks down the problem:

First, let’s break down each piece of the problem. We have the whole number, 20, which is also the dividend, and the fraction, or the divisor, can be broken down into its numerator, 7, and its denominator, 9:

Whole number and dividend: 20

Numerator of the divisor: 7

Denominator of the divisor: 9

So, what is 20 divided by 7/9? Let’s work through the problem, and find the answer in both fraction and decimal forms.

What is 20 Divided by 7/9, Step-by-step from math tutor

First let’s set up the problem:

20÷7920 ÷ \frac{7}{9}

Step 1:

Take the whole number, 20, and multiply it by the denominator of the fraction, 9:

20 x 9 = 180

Step 2:

The numerator of the fraction will now become the denominator of the answer. The answer to the problem in fraction form can now be seen:

2097=1807\frac{ 20 \cdot 9 }{7} = \frac{180}{7}

To display the answer to 20 divided by 7/9 in decimal form, you can divide the numerator, 180, by the denominator, 7. The answer can be rounded to the nearest three decimal points, if needed:

1807=1807=25.71\frac{180}{7} = \frac{180}{7}= 25.71

So, in decimal form, 20 divided by 7/9 = 25.71

And in its simplest fractional form, 20 divided by 7/9 is 180/7

Math Tutor Suggests: Practice Other Division Problems Like This One

If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.

Get PDF

Math Tutoring to Boost Your Child’s Math Skills & Scores by 90% in Just 3 Months – Guaranteed!

Does your child struggle with math homework or understanding tricky math concepts? Do they do okay in math, but express excitement to learn new material or advanced math?

A Thinkster Math tutor provides one-to-one support to help elementary, middle school, and high school students build confidence and master math subjects like K-8 math, pre-algebra, algebra, geometry, calculus, and more.

Our expert math tutors customize math lessons to your child’s unique needs, making learning math fun and effective. We help students improve grades, develop strong critical thinking skills through solving word problems, excel in standardized tests, and develop strong problem-solving skills.

Our expert math tutors are ready to help make your child a champion and develop strong math mastery! Sign up for our 7-day free trial and get the best math tutor for your child today!

Start 7-Day Free Trial