Fraction and decimal equivalents


To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division.

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How do you convert a fraction to a decimal equivalent?

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

How do you teach equivalent fractions and decimals?

0:343:37How to Teach Equivalent Fractions and Decimals – YouTubeYouTubeStart of suggested clipEnd of suggested clipUsing multiple representations to model and investigate equivalent rational numbers for exampleMoreUsing multiple representations to model and investigate equivalent rational numbers for example students can begin to explore the relationship between fractions and decimals with decimal grids.

How do you find fraction equivalents?

To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4.

What is 3 3 as a decimal?

Fraction to Decimal Conversion Tablesfraction = decimal1/3 = 0.32/3 = 0.61/4 = 0.253/4 = 0.751/5 = 0.22/5 = 0.44/5 = 0.81/6 = 0.165/6 = 0.8319 more rows

How can I help my child understand equivalent fractions?

0:003:46Equivalent Fractions | Maths | EasyTeaching – YouTubeYouTubeStart of suggested clipEnd of suggested clipEquivalent fractions the word equivalent comes from the word equal equivalent fractions areMoreEquivalent fractions the word equivalent comes from the word equal equivalent fractions are fractions that look different but are actually equal that is they have the same value.

What is an equivalent decimal?

In algebra, equivalent decimals are two decimal numbers that are equivalent, that is, they represent the same value or amount. Here, both the decimal numbers show the same amount of space taken.

What is 3/4 equivalent to as a fraction?

Equivalent fractions of 3/4 : 6/8 , 9/12 , 12/16 , 15/ Equivalent fractions of 1/5 : 2/10 , 3/15 , 4/20 , 5/

What is 4/8 equivalent to as a fraction?

So we see that 1/2 will equal 2/4, and that equals 4/8.

What fraction is 2 4 equivalent to?

Fractions equivalent to 2/4: 4/8, 6/12, 8/16, 10/20 and so on … Fractions equivalent to 3/4: 6/8, 9/12, 12/16, 15/20 and so on … Fractions equivalent to 1/5: 2/10, 3/15, 4/20, 5/25 and so on … Fractions equivalent to 2/5: 4/10, 6/15, 8/20, 10/25 and so on …

What is 7/10 as a decimal?

0.7Answer: 7/10 in decimal form is 0.7.

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•Jan 9, 2022

What is 2.5 as a fraction?

5/2Answer: Fractional form of 2.5 is 5/2. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.

How do you turn a fraction into a decimal 4th grade?

0:003:57Rewriting fractions as decimals | Math | 4th grade | Khan AcademyYouTubeStart of suggested clipEnd of suggested clipGoing from there we can simplify even more 20 hundredths can be simplified we could divide 20 andMoreGoing from there we can simplify even more 20 hundredths can be simplified we could divide 20 and 100 by 10. So we’ll say two tenths. Plus nine hundredths and now if you can hear the tenths.

What is decimal fraction with example?

A decimal fraction is a fraction with a power of 10 (10^1, 10^2, etc.) in the denominator. These numbers are written in decimal form for the convenience of solving mathematical sums. For example, 4/1000 is a decimal fraction, written in decimals as 0.004.

The inches fractional and decimal equivalents

Basics – The SI-system, unit converters, physical constants, drawing scales and more.

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Engineering ToolBox, (2007). Fractions and Decimal Inches Equivalents. [online] Available at: [Accessed Day Mo. Year].

Equivalent fractions and decimals

Learn how to represent decimals with up to two decimal places as fractions.


Play Guardians: Defenders of Mathematica to learn more and sharpen your skills on this topic.

How to convert decimals to fractions?

To convert a decimal into a fraction, you just have to do the same process in reverse. Create a fraction with the decimal as the numerator and “1” as the denominator. Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. This will give you a fraction.

How to get equivalent fractions?

These are called equivalent fractions. The way to get equivalent fractions is the multiply or divide the top and bottom numbers by the same number. In general you want to divide down to the smallest numbers you can; this is called simplifying fractions.

Why do we call fractions “proper”?

Because 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). If the number on top is larger we call it an improper fraction. Improper fractions can also be written out as a mix of a whole number and a fractions.

What are two ways to write out partial numbers?

Fractions and decimals are two common ways to write out partial numbers. Here’s who to turn one into the other.

How to calculate decimals?

The best way to calculate decimals is using long division. That’s a bit of an involved process, so we won’t go over that step by step here. 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).

What is the number on top of fractions?

To use fractions, we need to figure out what number goes on top, and what goes on bottom. The number on top is called the numerator; this is the number of parts we have ( Two thirds). The number on bottom is called the denominator; this is how many of those parts make one whole (Two thirds ).

Why is it called a decimal?

It’s called a “decimal” because it’s done in groups of ten (“dec-” in Latin), like normal numbers. With a decimal, though, the numbers go after the 1s place instead of before. The number of places we go beyond 1 are called decimal places.

How to convert fractions to percentages?

To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100%

How to convert decimal to percent?

To convert from decimal to percent multiply by 100%. An easy way to multiply by 100 is to move the decimal point 2 places to the right: From Decimal.

Calculator Use

Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number.

How to Convert a Fraction to a Decimal

In a fraction, the fraction bar means “divided by.” So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4.
1 ÷ 4 = 0.25

How to Turn a Fraction into a Division Problem

Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket.

Related Calculators

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division.


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