$percentage expressed as fraction converter$

$percentage expressed as fraction converter$

Percentage expressed as fraction converter how to#

Knowing these relationships allows us to use a variety of strategies to convert fractions to percentages. We don't need to actually perform the multiplication due to the nature of the decimal numeral system: each place represents a power of 10, and since 100 = 10 2, shifting the decimal point two places to the right is the same as multiplying by 100. This is equivalent to shifting the decimal place two places to the right. To convert a decimal to a percentage, multiply by 100. This gives us the relationship between decimals and percentages. If we were to perform the division problem to convert the fraction to a decimal, we would find that: Thus, if a given fraction is, or can be written as an equivalent fraction such that the denominator is 100, then converting the fraction to a percent is trivial: the numerator is the percent. While a fraction can be any ratio, percentages represent parts relative to a hundredth of a part. Fractions, percents, and decimalsįractions and percents represent parts of a whole. Depending on what resources are available, it can be relatively simple or somewhat tedious, but in any case, it requires an understanding of what fractions, decimals, and percentages are. There are a number of ways to convert a fraction to a percent. Home / primary math / fraction / fraction to percent Fraction to percent In this case, we can simplify the fraction down to 1/20. 63/1 will become 63/100 after we multiply the top and bottom by 100. This will give you a fraction.įor example. Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. Create a fraction with the decimal as the numerator and '1' as the denominator. To convert a decimal into a fraction, you just have to do the same process in reverse. You show that a decimal repeats by drawing a line over the last two numbers. In some cases, there is no easy way to divide. The result won't always have a simple answer. To turn a fraction into a decimal, divide the numerator by the denominator. Converting fractions into decimal numbersĬonverting fractions to decimals is simple once you know your division. The important thing to know is that, most of the time, you only want to write out to the second decimal place (or the 'hundredths' place). That's a bit of an involved process, so we won't go over that step by step here. The best way to calculate decimals is using long division. To keep things simple, we mark off the start of these decimal numbers with a decimal point or period. The number of places we go beyond 1 are called decimal places. With a decimal, though, the numbers go after the 1s place instead of before. It's called a 'decimal' because it's done in groups of ten ('dec-' in Latin), like normal numbers.

Percentage expressed as fraction converter how to#

How to handle decimalsĪ decimal is another way of showing a partial number.

$percentage expressed as fraction converter$

In general you want to divide down to the smallest numbers you can this is called simplifying fractions. The way to get equivalent fractions is the multiply or divide the top and bottom numbers by the same number. Sometimes fractions can be written differently but have the same value. Improper fractions can also be written out as a mix of a whole number and a fractions. If the number on top is larger we call it an improper fraction. The number on bottom is called the denominator this is how many of those parts make one whole (Two thirds).īecause a fraction means a 'part' of something, we call fractions 'proper' if the number on top is smaller than the number on bottom (this means that it is less than 1).

$percentage expressed as fraction converter$

The number on top is called the numerator this is the number of parts we have ( Two thirds). To use fractions, we need to figure out what number goes on top, and what goes on bottom. 'Two thirds' would be written out as 1/3. A fraction usually means a number of equal parts like 'one half' and 'two thirds.' This is written as one whole number over another whole number.

$percentage expressed as fraction converter$

How to tackle fractionsįractions are a common way of writing out partial numbers. Fractions and decimals are two common ways to write out partial numbers.

$percentage expressed as fraction converter$