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The equation to convert a decimal to a percentage is simple; You just need to multiply the number by 100 and add the % sign.

## Convert A Decimal To Percent

0.35 will be expressed as a percentage. To multiply this by 0.35, 100/100=1; You can simply move the decimal point to the right using the technique described above.

### Review Of Decimals And Percents

0.125 will be expressed as a percentage. To multiply this by 0.125, 100/100=1; You can simply move the decimal point to the right using the technique described above. Converting from decimals to percentages is an important calculation. Commercial Mathematics and Banking Calculations. By multiplying a decimal value by 100, you can multiply it with the percent (%) sign. Multiplying a decimal moves the decimal point to the right. For example 0.01 is 1%. Learn more about Decimal to Percent in this article.

Before learning about converting from decimals to percentages, Let’s first understand the meaning of decimals and percentages. The word “decimal” comes from the Latin word decimus, meaning one-tenth. Base 10 of the decimal system. Decimal numbers are usually recognized by dots. In numbers, it is called the “decimal point”. Even a whole number can be expressed as a decimal by adding a decimal point after the number and writing the word. Example: 45 = 45.0 = 45.00 = 45,000. They are all the same because they have no decimal point value.

The word “percent” is made up of two words from 100 to “one hundred”. In other words, a percentage is a ratio calculated from 100. Therefore, converting from decimal to percent means converting the decimal number to a fraction of 100. Let’s learn how to convert decimals to percentages. Step-by-step with real-life examples.

Decimals and percentages are two ways to express any number, but percentages are used to compare different amounts because the base value is always hundreds. for example, 0.2 from percentages; The decimal values of 0.35 and 0.1234 are 20%, 35%, and 12.34%, respectively. Now we can easily evaluate the percentage value. Below are two quick steps to convert decimals to percentages.

#### Decimals To Percentages Textbook Exercise

So 0.43 = 0.43 x 100% = 43%. So we see how to convert decimals to percentages. Percentages can be converted from decimals to fractional form and rewritten in decimal form. Example: 45% = 45/100 = 0.45.

For a complete understanding of these 3 concepts, Decimal to Fraction, You can also learn about Fraction to Percent and Percent to Fraction.

The decimal to percent table helps you quickly find the percent value of some common decimal numbers. You can use these values in calculations involving decimals and percentages.

As with rote memorization, you are likely to forget concepts. With this, you can learn visually and be amazed by the results.

## Converting Decimals To Fractions And Percentages (video & Practice)

Converting decimals to percentages is very important to learn because many times both decimal and percentage forms are given in the same number. Therefore, to compare them or perform any operation on them; Need to convert from decimal to percent or vice versa. Decimal to percent conversion is done by multiplying the decimal number by 100 and appending the percent sign to the answer.

The process of converting decimal values to percentages is very simple. Multiply the decimal number by 100 and add the % sign. Let’s understand this with an example. Let’s convert 4.837 to a percentage. To calculate we have 4.837 = 4.837 x 100% = 483.7%.

A repeating decimal can be converted simply by multiplying the percentage by 100 and using the % symbol. The repeating decimal 0.3333 can be converted to a decimal by multiplying it by 100. Here we have 0.3333… = 0.3333… x 100% = 33.33….% or approximately 33.33%.

If you are given a fraction and need to convert it to a decimal. Follow the given steps. To express the fraction as a decimal, divide the numerator by the denominator and multiply the decimal by 100 to convert to a percentage. Here’s how we convert a fraction from a decimal to a percentage. for example, Given 3/4, its decimal representation is 0.75 (3 ÷ 4). now, To convert it to a percentage, Multiply it by 100 and attach a percent sign. So (0.75 × 100) % = 75%.

#### Fraction Decimal Percents Conversion Worksheet

To convert 0.006 to a percentage; Multiply it by 100 and put a percent (%) sign next to it. Here 0.006 = 0.006 x 100% = 0.6%.

Decimals need to be converted to percentages to compare quantities. for example, We are 0.06 decimal; 0.32, Given 0.893, We cannot define any values. In addition, If you convert these decimals into percentages like 6%, 32%, 89.3%, the amounts will be easier to understand. Also, percentages give values on a simple linear scale of 100. Today we are talking about decimals, We will learn the relationship between fractions and percentages. We will also discuss how to use these numbers in the real world.

Before we begin, let’s review some points. First, A decimal is a number with a whole number and a fractional part. The point that separates these parts is called the decimal point. Numbers after the decimal point indicate a value less than 1.

For example, In the number 25.16, 25 is the whole number and the fraction is .16, which comes after the decimal point. At 0.75 digits, The whole number part is 0 and the fractional part is .75. 0.75 is one tenth less than 1.

### How To Convert Fractions, Decimals, Amd Percents

Decimals are based on powers of 10. Going from left to right, the value of each place is divided by 10.

Decimal 5.25 is read as “five twenty five hundred”. Since 25 comes after the decimal point, It is a fraction of a number. “Twenty-five hundred” because the last number, 5, is a hundred.

The decimal 0.875 is read as “eight hundred seventy-five thousand” because the last digit, 5, is in the thousands.

Since decimals have fractions, they can also be written as fractions. Converting a decimal to a fraction is a different way of expressing the same number. To convert a decimal to a fraction, write the digits after the decimal point as the denominator and the place value as the denominator.

### Expressing Percentages As Decimals Worksheet

For example, At 0.7, There is 7 in the tenth place. the first, Enter the number after the decimal point as the numerator of the fraction: (frac). Then look at the place value of the last digit of the decimal. Since 7 is the only decimal number and is in the tenths place, Enter 10 as the denominator of the fraction: (frac).

0.6 to 6 decimal places. Since the numerator is six and the denominator is ten, the fraction is (frac). We can simplify (frac) by dividing the numerator and denominator by 2 to get (frac). The original fraction (frac) is referred to as a decimal fraction, and the simple fraction (frac) is called a common fraction.

Let’s consider another example. Let’s convert 0.25 to a fraction. the first, the decimal point as the numerator of the fraction; Add numbers after 25: (frac)

Then look at the place value of Figure 5. Since 5 is in the hundreds place, Enter 100 as the denominator of the fraction: (frac).

### Question Video: Writing A Percent As A Decimal

The last step is to simplify the part if necessary. Since 25 and 100 share a common factor of 25, The fraction can be simplified by dividing the numerator and denominator by 25: (frac=frac).

Now it’s your turn. Convert 0.625 to a fraction. Stop this video Convert decimals to fractions; Remember to simplify if necessary. When you’re ready, resume the video and we’ll do it.