# Decimal and fraction relationship

### WRKDEV - Converting between Fractions, Decimals and Percents

Both fractions and decimals are used to express nonintegers, or partial numbers. Each one has its own common uses in science and math. Fractions to Decimals: Learn. Do the following steps to convert a fraction to a decimal: Divide the numerator by the denominator; Round to the desired precision. We encounter ideas related to fractions, decimals, ratios and percents on a daily basis. Confident and flexible understanding of these ideas are key to everyday.

In this article, we explain the concepts individually as well as their correlation with each other. Fractions A fraction is simply defined as a part of the whole.

It can be 1 slice of a pizza, 2 hours in a week, 3 eggs from a dozen, etc. Rohit, Anjali and Divya order a large pizza that has 8 slices. Rohit and Anjali have 2 slices each and Divya eats just 1 slice.

### Relationships Between Fractions, Decimals, Ratios & Percentages | UTAS

So, if you look at the fraction: Your daily diet includes 3 eggs in a day, so you buy a carton of a dozen eggs for convenience. A fraction, which is represented by a numerator and a denominator, is easily relatable when the concept is demonstrated through these simple real life situations.

This way, children can visualize that the numerator represents the number of parts to be considered and the denominator is the total number of equal parts available.

Decimals A decimal number is a number where the fraction part is denoted by digits after the decimal point. Relating Decimals, Fractions and Percent Please go to the link below and complete the activities suggested below.

### Relationship between Fractions and Decimals

Math Is Fun Virtual Manipulative Activities to demonstrate the relationship between fractions, decimals and percents, and reinforce and extend your understandings of percents being another way to represent fractions: By rotating the curser in an anti-clockwise direction around the pizza, shading the grid or moving along the number line, you can select a portion of the pizza.

Shade one of the squares on the grid. Notice that one hundredth of the pizza appears, and the pointer is a very small distance past zero on the number line. Imagine the number line from zero to 1 divided into one hundred equal parts. One of these parts is one hundredth, or 0.

This part is also one tenth of a tenth, or one tenth of 0. Highlight the top row of the grid, that is, ten of the one hundred squares. You have highlighted one tenth of the square, and will notice that one out of ten equal parts of the pizza has appeared.

## Decimals, Fractions and Percentages

Yes, simply making a slight change to a whole number brings you right into the world of fractions, decimals and percents. Fractions, decimals and percents are everywhere and you simply can not avoid them even if you tried. One would believe that the commonality of these three values would lead to people understanding them better but many are still a little bit in the dark as to their value.

So, it becomes important to understand what they are and how they differ from one another.

## University of Tasmania, Australia

A fraction refers to "part" of a whole number. When you divide the numerator by the common denominator you get a decimal. That is seen in the following: