Loading…
Math Tutor Solution: 3 35/10 as a decimal is 6.5
Methods
First step – Making the fraction improper:
The first step to changing 3 35/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 10 and add its product to 35 in the numerator to get: 65/10. Now we will attempt to convert 65/10 to a decimal using one of the following methods:
Method 1 from a math tutor – Explanation using the division method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 65 by the denominator 10 to get the decimal:
65 (numerator) ÷ 10 (denominator) = 6.5
That’s it! When you convert 3 35/10 (or 65/10) to a decimal, 6.5 is your answer.
Method 2 from a math tutor – Explanation using the factors of 10 method:
Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.
Even if our denominator is not a power of 10, we can make it one. 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 them into a power of 10. Since our denominator is 10, we can convert it because it is a factor of a power of 10.
To do that, we multiply 10 by 1 to make the denominator 10. And since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:
Math Tutor Suggests: Master fraction to decimal conversions
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