Loading…
What is 4/10 Divided by 3/7?
Methods
Math tutor breaks down the problem:
First, let’s break down each piece of the problem, as each piece is important. We have the first fraction, or the dividend, which can be broken down into its numerator, 4, and its denominator, 10. We also have the second fraction, or the divisor, which can be broken down into its numerator, 3, and its denominator, 7:
Numerator of the dividend: 4
Denominator of the dividend: 10
Numerator of the divisor: 3
Denominator of the divisor: 7
So, what is 4/10 divided by 3/7? Let’s work through the problem, and find the answer in both fraction and decimal forms.
What is 4/10 Divided by 3/7, Step-by-step from math tutor
First let’s set up the problem:
Step 1:
Interestingly, the first step to solving a division problem between two fractions is to multiply. First, you multiply the numerator of the dividend, 4, by the denominator of the divisor, 7.
4 x 7 = 28
This will become the numerator of the answer.
Step 2:
Then, multiply the denominator of the dividend, 10, by the numerator of the divisor, 3:
10 x 3 = 30
This will be the denominator of the answer.
Step 3:
Put the two answers together into one fraction, and this will be the answer to the problem in fraction form:
To display the answer to 4/10 divided by 3/7 in decimal form, you can continue to divide the numerator of the answer, 28, by the denominator, 30. The answer can be rounded to the nearest three decimal points, if needed:
So in decimal form, 4/10 divided by 3/7 = 0.933
And in fractional form, 4/10 divided by 3/7 is 14/15
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 PDFMath 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