Take the percentage 78% and set up a division problem to divide it by 100.Īnytime you divide by 100, you move the decimal point two places to the left. For this math problem, use the value 78%. Locate the percentage you want to convert to a decimal. The process for changing a percent into a decimal is simple, just follow these steps: 1.
#Fraction percentages how to#
Related: How To Calculate Percent How to convert a percent to a decimal If the percentage amount is over 100, the product will be greater than the original number. If the percentage amount is under 100, the product will be less than the original number. When multiplying percents by another number, the operation creates a new value equal to the given percent of the original number. Unless there is a reason to use one over the other, it is a personal preference and you may choose either.īy itself, a percent is just a representation of a part of a whole. In most cases, unless the direction specify, it doesn't matter whether you convert the percentages into decimals or fractions. You cannot calculate a multiplication math problem correctly without first making this conversion. When you have a math problem that requires you to multiply one or more percentages, you must first convert the percentage into a decimal or fraction. Consumers encounter percents every time they go shopping, since the store applies sales tax to their bill as a percentage. For example, in the finance industry you use percents to find the rate of return, market shares, interest rates and growth trends. Many industries use percentages on a daily basis. Percents are a common mathematical term and used frequently in basic math, statistics, probability and other mathematical calculations. Sometimes you'll see it referred to as "per one hundred," "for every 100" or "out of 100." A percentage is often used to define a fractional part of a whole. What is a percentage?Ī percentage, or percent, is a proportion between two numbers expressed in hundredths. In this article, we discuss what a percentage is, how to multiply percentages, how to convert percentages into decimals and fractions and how to multiply a percent by another percent, a whole number, a decimal and a fraction. Knowing how to multiply percentage is a useful skill, especially if you need to solve percentage problems without a calculator. Common examples of when you may need to multiply percentages are for sales tax, discounts, leaving tips, earning commission or calculating interest. Simplify the remaining fraction to a mixed number fraction if possible.Calculating percentages can help you in your daily life.Reduce the fraction: Find the Greatest Common Factor (GCF) of the numerator and denominator and reduce the fraction by dividing both numerator and denominator by the GCF.
If you have x decimal places then multiply numerator and denominator by 10 x. Convert the decimal to a whole number: Count how many places are to the right of the decimal.Put a 1 in the denominator (bottom) of the fraction. Use that number as the numerator (top) of a fraction.Divide the percentage by 100 to get a decimal number.To convert a percent to a fraction you first convert the percent to a decimal then use the same procedure as converting aĭecimal to fraction. The number you enter can also have decimal places as in 3.5% or 0.625%. Enter percents to convert them into fractions. If the percent value is greater than 100% it is converted into a mixed number fraction. This online calculator converts a percent to a fraction.
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