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convert fraction into decimal

by Garry Ziemann Published 3 years ago Updated 2 years ago

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How do I convert a fraction to a decimal?

To convert a fraction to a decimal, we'll just divide the numerator...by the denominator. In our example, we'll divide 1 by 4. 1 divided by 4 equals 0. To keep dividing, we'll add a decimal point and a zero after the 1.

What is 3/8 as a decimal?

0.3753/8 as a decimal is 0.375.

What is 1/3 as a decimal?

0.3333Answer: 1/3 is expressed as 0.3333 in its decimal form.

How do you turn 7/8 into a decimal?

7 divided by 8 or 7/8 is equal to 7 divided by 8, which is equal to 0.875.

What is 1/16 in a decimal?

0.0625Answer: 1/16 as a decimal is written as 0.0625.

What is 5/8 in a decimal?

0.625∴ 5/8 as a decimal is 0.625.

What is 1/8 as a decimal?

To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125.

What is 7 9 in a decimal?

0.7Find More Fractions to Decimals1/1 = 11/8 = 0.1257/9 = 0.71/4 = 0.251/11 = 0.095/11 = 0.451/5 = 0.21/12 = 0.0838/11 = 0.721/6 = 0.161/16 = 0.06255/12 = 0.4161/7 = 0.1428572/3 = 0.63/16 = 0.18753 more rows•Nov 16, 2021

What is 1/5 into a decimal?

0.2Answer: 1/5 as a decimal is expressed as 0.2.

How do you turn 9/16 into a decimal?

Answer: 9/16 as a decimal is 0.5625.

What is 3/4 as a decimal?

0.75The decimal form is 0.75.

What is 5/16 in a decimal?

0.3125Answer: 5/16 as a decimal is 0.3125.

How to convert 1 3 to a decimal?

Step 2: Multiply top and bottom by 333:

How to multiply fractions by 10?

Yet another method you may like is to follow these steps: Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number. Step 3.

How to convert fractions to decimals?

To convert fractions to decimals, look at the fraction as a division problem. Take the top number, or the numerator, of the fraction and divide it by the bottom number, or the denominator. You can do this in your head, by using a calculator, or by doing long division. For example, ¼ is just 1 divided by 4, or 0.25.

What is the easiest fraction to convert?

3. Learn to spot the easiest fractions that can be converted. Any fraction that has 5 as the denominator is an obvious candidate, but fractions that have denominators of 25 are just as easily converted. Any number that already has an exponent of 10 as a its denominator will be very easy to convert.

How to multiply two fractions?

To multiply two fractions, simply multiply straight across. Multiply both numerators together and make the result the numerator of the answer. Then multiply the denominators and make the result the denominator of the answer. You will be left with a new fraction.

What is 2/3 in math?

The fraction 2/3, for example, can also be stated as 2 divided by 3. Divide the numerator of the fraction by the denominator of the fraction. You can do this math problem in your head, especially if the numerator and denominator are multiples of each other, with a calculator, or with long division .

How are decimals read?

Decimals are also often read in a way that demonstrates their similarity to fractions. For example, 0.05 would commonly be read aloud as "five-hundredths," the same as 5/100. The fraction is represented by the numbers placed to the right of the decimal point. ...

What does the denominator mean in math?

The denominator represents how many equal parts there are in the whole. For example, a pizza might be cut into 8 pieces. The denominator for the pizza would then be "8". If you cut the same pizza into 12 slices, then the denominator would be 12. Either way they represent the same whole, just cut up differently.

What does the decimal point mean?

Instead, the decimal point to the left of the numbers signifies that the numbers are below one. With a decimal, the whole is considered to be based on 10, 100, 1000, etc, depending on how many spaces to the right of the decimal the number goes.

Key points to remember

1 is the numerator and 2 is the denominator. This fraction represents one half.

Step 1: Find a number that when multiplied by the denominator makes 10, 100, or 1000

Let’s take the above example of ½. When 2 is multiplied by 5, it makes 10.

Step 3: Take the new numerator and apply a 0 followed by a decimal point before it

Example: 5 is the new numerator. By placing a zero and a decimal point in front of the 5, you get 0.5 – which is equal to ½.

Example questions

Below are two problems that need the fraction to be converted into a decimal. Each uses the three simple steps above and explains how the answer was reached.

Fraction to Decimal Conversion

Any number which is represented in a fraction form is divided into two parts i.e., numerator and denominator. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator.Fractions are represented in the form of q/p, where p≠0.

How to Convert Fraction to Decimal?

To convert a fraction to its decimal form by the following two methods.

Fraction to Decimal Chart

Fraction to decimal chart is a direct approach to get the converted values easily. The chart gives us the values of some most commonly used fractions in terms of decimals and vice-versa. Fractions can be less than or greater than 1. Fractions that are less than 1 have a numerator < denominator. They are called proper fractions.

Fraction to Decimal Calculator

Check our fraction to decimal calculator and try few conversions at your end. It is a free online tool that calculates the decimal form of a given fraction. Our calculator helps you to calculate the decimal value of fractions within a few seconds.

Converting Fraction to Decimal Examples

Become a problem-solving champ using logic, not rules. Learn the why behind math with our Cuemath’s certified experts.

FAQs on Fraction to Decimal

Fraction to decimal in math is referred to as a procedure that we generally used to convert the fraction value to decimal value. While converting a fraction to a decimal, we divide the parts of fractions, i.e., the numerator is divided by the denominator. Decimal gives a more precise value as compared to fractions.

How to convert fractions to decimals

A fraction is made up of two parts: a numerator and a denominator. It is used to represent how many parts we have out of the total number of parts.

Using bar models to visualise the conversion from a fraction to a decimal

We can use bar models to represent the conversion from fractions to decimals. Use the step-by-step guide to work through this.

Converting between fractions and decimals at work

Converting between fractions and decimals can be used in real life when measuring out quantities.

How to convert decimals to fractions?

How to Convert a Decimal to a Fraction. Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number). Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, ...

What is the repeating decimal for 0.66666?

For a repeating decimal such as 0.66666... where the 6 repeats forever, enter 0.6 and since the 6 is the only one trailing decimal place that repeats, enter 1 for decimal places to repeat. The answer is 2/3

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