What is 48 out of 60 as a percentage? Show
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48:60*100 = (48*100):60 = 4800:60 = 80 Now we have: 48 is what percent of 60 = 80 Question: 48 is what percent of 60? Percentage solution with steps: Step 1: We make the assumption that 60 is 100% since it is our output value. Step 2: We next represent the value we seek with {x}. Step 3: From step 1, it follows that {100\%}={60}. Step 4: In the same vein, {x\%}={48}. Step 5: This gives us a pair of simple equations: {100\%}={60}(1). {x\%}={48}(2). Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS \frac{100\%}{x\%}=\frac{60}{48} Step 7: Taking the inverse (or reciprocal) of both sides yields \frac{x\%}{100\%}=\frac{48}{60} \Rightarrow{x} = {80\%} Therefore, {48} is {80\%} of {60}.
Solution and how to convert 48 / 60 into a percentage
We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possibly too! Here's how we discovered that 48 / 60 = 80% :
When are fractions useful?Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage. Convert 48 / 60 into a percentage or decimal
Find the DenominatorA percentage is a number out of 100, so we need to make our denominator 100! If the original denominator is 60, we need to solve for how we can make the denominator 100. To convert this fraction, we would divide 100 by 60, which gives us 1.67. Find the NumeratorNow, we multiply 1.67 by 48, our original numerator, which is equal to 80 Convert your Fraction to a PercentRemember, a percentage is any number out of 100. If we can balance 48 / 60 with a new denominator of 100, we can find the percentage of that fraction! Help your students convert 48 / 60 through further understanding:
1. How to Find Fraction 48/60 into Percentage? You can find percentage conversion from the given fraction 48 by 60 by dividing the two numbers i.e. 48/60 and then multiply the result with 100 to get the percentage value. Check out the calculation steps from below: =(48/60)*100 =80 % 2. What is the Percentage conversion for 48/60 fraction? The percentage value for 48/60 is 80%. 3. Where do I attain complete steps on converting 48/60 fraction into percentage? You can attain detailed steps on 48/60 fraction to percent conversion on our page. Make use of them and understand the concept of fractions to percentages conversion efficiently. 48 of 60 is 80% Steps to solve "what percent is 48 of 60?"
MathStep (Works offline) Download our mobile app and learn how to work with percentages in your own time:Android and iPhone/ iPad More percentage problems: 96 of 60 48 of 120 144 of 60 48 of 180 240 of 60 48 of 300 336 of 60 48 of 420 48% of what number is 60 48 percent of 60 Find another
It's very common when learning about fractions to want to know how convert a fraction like 48/60 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!
Want to quickly learn or show students how to convert 48/60 to a percentage? Play this very quick and fun video now! Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial. When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form. So, since our denominator in 48/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator: 100 ÷ 60 = 1.6666666666667 Once we have that, we can multiple both the numerator and denominator by this multiple: 48 x 1.6666666666667 / 60 x 1.6666666666667 = 80 / 100 Now we can see that our fraction is 80/100, which means that 48/60 as a percentage is 80%. We can also work this out in a simpler way by first converting the fraction 48/60 to a decimal. To do that, we simply divide the numerator by the denominator: 48/60 = 0.8 Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage: 0.8 x 100 = 80% And there you have it! Two different ways to convert 48/60 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps. I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below). If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself. Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires! Fraction to Percentage CalculatorNext Fraction to Percentage Calculation
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