Loading…
Math Tutor's Solution: 45/56 as a percent is 80.357%
Methods
Method 1 from a Math Tutor – Converting 45/56 Into a Percentage:
In a fraction, we can see how many “pieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). “Percent” means “per hundred”, which is like asking the question “how many pieces would there be if there were 100 pieces possible?”
For example, if we look at the percentage 50%, that means we have 50 pieces of the possible 100. Re-writing this in fraction form, we see 50/100.
We can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator:
Then we can multiply both the numerator and denominator by this number:
This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (1.786 / 1.786 = 1)
Re-writing the result as a percentage, we can see that 45/56 as a percentage is 80.357%.
Method 2 from a Tutor – Converting 45/56 Into a Percentage Using Decimals:
Another common way to convert a fraction into a percentage is to first convert the fraction into a decimal. To convert 45/56 into a percentage, you would first convert 45/56 into a decimal by dividing the numerator by the denominator:
Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage:
0.804 x 100 = 80.357
And there you go! Now we can see that 45/56 as a percentage is 80.357%, the same way we did with the first method.
Now you know of two ways you can convert 45/56 into a percentage. The best way to master these methods is to practice! Grab a pencil and paper, and come up with some of your own fractions, and become a master at converting them into percentages!
Math Tutor Tip: Practice more percentage conversion problems
Practice makes perfect, so why not check out some of the other problems from our math tutors where you can convert fractions to percentages?
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