Vulgar Fraction with Solved Examples

Do you know another name for a common fraction? A fraction in which the numerator and denominator are both integers. Vulgar fractions are simply two integers placed above and below a fraction bar (the numerator and denominator). A vulgar fraction, also known as a common fraction or fraction, is a fraction written in the conventional form, with one integer number written above the next and a line between them.

The Numerator and The Denominator

What are Numerators and Denominators?

The numerator predicts the total number of selected equal fractions. Whereas the denominator demonstrates the whole number of equal parts. A circular wheel is distributed into six equal sections. This situation can be represented as a ${\displaystyle \frac{5}{6}}$ fraction, the numerator 5 represents the number of the equivalent shaded portion taken out from the set of 6 equal amounts, and the denominator 6 means that 6 equal parts make up a whole unit.

Vulgar Fractions Facts

Examples of The Vulgar Fraction

• If the numerator and denominator are multiplied or divided by the same number, the value of a vulgar fraction remains the same.

• A fraction can be lowered only when the numerator and denominator share the exact divisors.

• The fractions can be added by adding their numerators if their denominators are the same; to subtract them, take the numerator of the subtrahend and divide it by the numerator of the minuend; to multiply two fractions by fractions, multiply the numerators for the product's numerator and the denominators for the product's denominator.

Fraction

• Finally, multiply the integer by the reciprocal of the particle to divide it by the fraction. The denominator cannot contain 0; it should be noted. Since denominators are also divisors, no integer may be split by 0, and the same rule applies to irrational numbers. Therefore, the denominator must be rationalised.

What is an Improper Fraction?

Improper Fraction

When the numerator is less than the denominator, the fraction is less than one and is referred to as a proper fraction. For example, ${\displaystyle \frac{1}{2}}$ and ${\displaystyle \frac{5}{11}}$ are correct fractions. If the numerator equals the denominator, the fraction is equal to unity, such as ${\displaystyle \frac{7}{7}}$. If the ${\displaystyle \frac{200}{100}}$ numerator is greater than the denominator, the fraction is more significant $\overline{100}$. The fraction is known as an improper fraction.

Converting Decimal to Vulgar Fraction

In the denominator, put 1 under the decimal point and annex with it as many zeros as is the number of digits after the decimal point. Then, remove the decimal point and reduce the fraction to the lowest terms.

Solved Examples on Vulgar Fraction

Q1. Express 0.18 as a Vulgar Fraction.

Ans: x = 0.18

Multiply both aspects by 10 (Since the number of digits without a bar is 1)

10x = 1.8

$10x=1.88......(\text{ i) }$

$10\times 10x=1.88\dots ..\times 10$ (Since number of digits having bars is 1

$100x=18.8\dots ..\dots \text{ (ii) }$

Subtracting (i) from (ii)

$100x-10x=18.8-1.8$

$90x=17$

$x={\displaystyle \frac{17}{90}}$

Therefore, the vulgar fraction $={\displaystyle \frac{17}{90}}$

Summary

A vulgar fraction, also known as a common fraction or fraction, is a fraction written in the conventional form, with one integer number written above the next and a line between them. Examples of vulgar fractions include 1/2, 5/11, and 200/100. A vulgar fraction is a part of unity or several equal parts of unity. A vulgar fraction is one that is based on ordinary or everyday arithmetic, as opposed to these highfalutin decimal things, which were originally called decimal fractions. It specifically refers to one in which two whole numbers (the numerator and denominator) are placed above and below a horizontal line. Neither part can be zero.