A fraction is a numerical value that can be defined as the parts of a whole. It can also be a mixed number or a real number. Every fraction has 3 parts numerator, denominator, and separator. A fraction that has a multiple of 10 as a denominator is called the decimal fraction. In the following sections, 6th grade math students can understand and learn what is a decimal fraction, how to represent it, and examples.
Decimal Fraction – Definition
In algebra, a decimal fraction is a fraction whose denominator is a power of 10 like 10, 100, 100, etc. These can be generally expressed using a decimal point. The other way to write the decimal fraction is numerator/denominator. You can perform arithmetic operations like addition, subtraction, multiplication, and division on decimal fractions easily.
The examples of decimal fractions are 5/100 or 0.05, 8/10 or 0.8, and so on.
Decimal Fraction with 10 as Denominator
These are the decimal fractions which has only the number 10 in the denominator section. The examples are 1/10, 51/10, 7/10, and others. Here numerator varies but the denominator remains unchanged. Tenths place is written in decimal fractions with 10 as the denominator.
The easiest way to represent the decimal fraction visually is given here.
- Let us take a rectangular box.
- As the denominator of the decimal fraction is 10, divide the box into 10 equal parts.
- Shade the number of parts in the numerator to get the decimal fraction.
- We can represent it using points.
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Representation of First 9 Decimal Fractions
We know that tenths place is also known as a decimal fraction with ten as the denominator. The first 9 tenth places are one-tenth, two-tenths, three-tenths, four-tenths, five-tenths, six-tenths, seven-tenths, eight-tenths, and 9-tenths.
Take a rectangle and divide it into 10 equal parts and represent each of the above-mentioned decimal fractions.
The rectangle has only one shaded part so it is called one-tenth. In decimal fraction, it is 1/10. In a decimal number, it is 0.1 or point 1.
Only 2 parts are shaded in a whole so it is two tenths. In decimal fraction, 2/10. In a decimal number, 0.2 or point 2.
Only 3 parts are shaded in a whole so it is three tenths. In decimal fraction, 3/10. In a decimal number, 0.3 or point 3.
Only 4 parts are shaded in a whole so it is four-tenths. In decimal fraction, 4/10. In a decimal number, point 4 or 0.4.
Half of the rectangle is shaded so it is five-tenths. In decimal fraction, 5/10 = 1/2. In a decimal number, 0.5 or point 5.
Out of 10 parts, 6 parts are shaded so it is six-tenths. In decimal fraction, 6/10. In a decimal number 0.6 or point 6.
Out of 10 rectangular boxes, 7 boxes are shaded so it is seven-tenths. In a decimal number, 0.7 or point 7. In decimal fraction, 7/10.
8 parts are shaded in a whole so it is eight-tenths. In decimal fraction, 8/10. In a decimal number, point 8 or 0.8.
9 parts are shaded in the image so it is 9/10. In decimal fraction, 9/10. In a decimal number, point 9 or 0.9.
FAQ’s on Decimal Fractions Having 10 as Denominators
1. How to write a fraction with a denominator 10?
A fraction with a 10 as the denominator is called a decimal fraction. The process to write the decimal fraction is to write the actual number in the numerator and 10 in the denominator. Some of the examples of the fraction with 10 as denominator are 12/10, 81/10, 45/10, and so on.
2. What is 8/10 as a decimal?
The decimal number of fraction 8/10 is 0.8.
3. What is the fraction of three tenths?
The fraction of three-tenths is 3/10.
4. How to convert a decimal into a fraction?
To convert a decimal to a fraction, write the given number by removing point as a numerator and write 1 followed by the number of zeroes after the decimal place to get the fraction.