Proper Fractions: Proper fraction is an important type of fraction in an fractional chapter. Proper fraction consists of two terms that is numerator term and the denominator term. But the axiom that is given to the proper fraction is the numerator value is lower than the denominator value. If the axiom satisfies then it is known as the proper fraction.

Example: Identify proper fractions among the following fractions:

8/7, 1/5, −12/11, −3/8, 121/83 and 52/89.

Solution: 1/5, −3/8 and 52/89 are proper fractions, since here, absolute value of numerators are smaller than that of respective denominators.

## What is a Proper Fraction?

The base number has always been larger than the top number. The top number, which tells you how many part you have, is called the numerator. The base number, which tells you how many equal part the strip is divided into, is called the denominator. If the top number is lesser than the bottom number we always have what is called a proper fraction. It has always less than one value.

Example: 1/3, 5/8, 2/4

## Proper Fraction Definition

The definition of proper fraction is the numerator value is smaller than the denominator value.

**The example is 5/15.**

- Where, the 5 is the numerator part.
- The 15 is the denominator part
- The / is fraction symbol

## Fraction

- Fractions
- Simplify Fractions
- Adding Fractions
- Multiplying Fractions
- Subtracting Fractions
- Dividing Fractions
- Proper Fractions
- Improper Fractions
- Mixed Fractions
- Like Fractions
- Unlike Fractions
- Fraction Calculator
- Fraction Simplifier
- Mixed Fraction Calculator
- Convert Fraction to Decimal
- Convert Decimal to Fraction

A fraction is defined as the ratio of a whole number. For example 7/4 is a fraction. What does 4 stand for? It is the number parts into which the whole number division. What does 7 stand for? It is the number of equal parts which have been taken out. Here 7 is called the numerator and 4 is called the denominator.

For example: Three-eighth, four-fifth, one-half and one-third are denoted by 3/8, 4/5, 1/2 and 1/3 respectively.

A fraction is a number that can represent part of a whole. The fractions are reciprocals of integers, symbols representing one half, one third, one quarter, and so on.

## Three Types of fractions

Fractions can be classified in three ways: proper, improper and mixed.

1. Proper fractions – The fractions where numerator is less than the denominator are called proper fractions.

**Example: 2/5.**

2. Improper fractions – The fractions where numerator is greater than the denominator are called improper fractions.

**Example: 13/5.**

3. Mixed fractions – It has a combination of a whole number and a proper fraction.

**Example: 3 1/2.**

## Proper Fraction Calculator

Use our proper fraction calculator to add, multiply, subtract and multiply fractions. Enter values in proper fraction calculator, then select a math operation and click on calculate button. It shows step by step solution along with final result.

## Proper Fraction Examples

Below are the examples based on proper fractions –

Question 1: Add 1/3 and 2/3

Solution:

Step 1: Given two factions 1/3 with 2/3 are proper fractions.

Step 2: Since the denominators are same so, we can add the numerators

Step 3: 1+2/3 = 3/3

Correct answer is 1

Question 2: 5/6 and 3/4

Solution:

Step 1: Given two fractions 5/6 and 3/4 are proper fractions

Step 2: Multiply the two fractions directly

= 5/6 x 3/4

= 5×3/6×4

Step 3: Finally we get the answer for this problem as:

= 15/24

Divide the numerator and the denominator by 3

Correct answer is 5/8

Question 3: Divide 2/4 by 5/6

Solution:

Step 1: Given two fractions 2/4 and 5/6 are proper fractions

Step 2: Divide the first fraction 2/4 by 5/6

Step 3: 2/4 ÷ 5/6

= 2/4 × 6/5 [Since the division is the inverse of multiplication.]

Step 4: Now do normal multiplication

2/4 × 6/5 = 2×6/4×5 = 12/20

Now divide the numerator and denominator by 4

Correct answer is 3/5