Loading…
Math Tutor Solution: 8 30/10 as a decimal is 11
Methods
First step – Making the fraction improper:
The first step to changing 8 30/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 10 and add its product to 30 in the numerator to get: 110/10. Now we will attempt to convert 110/10 to a decimal using one of the following methods:
Method 1 from a math tutor – Explanation using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 110 by the denominator 10 (which you can enter in any calculator):
110 (numerator) ÷ 10 (denominator) = 11
And finally, you get 11 as your answer when you convert 8 30/10 (or 110/10) to a decimal.
Method 2 from a math tutor – Explanation using the factors of 10 method:
Sometimes, dividing a number by a power of 10 (like 10, 100, 1000 etc.) is easy because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. But for this question, the denominator, 10, isn’t a power of 10.
However, we can change the fraction: if the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert the fraction into one that is easy to calculate.
To do this, we need to make the denominator to a power of 10 - to make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10). We multiplied the denominator by 1, so now we need to also multiply the numerator by 1 too:
Math tutor suggests: Practice more conversion problems
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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
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