. Fraction Quiz for Grades 3, 4, 5 & 6 - Moonpreneur

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WHAT IS A FRACTION?

A fraction is a mathematical expression that represents a part of a whole. It is written as two numbers separated by a slash, with the top number representing the numerator and the bottom number representing the denominator. The numerator represents the number of equal parts, while the denominator represents the total number of parts in the whole. For example, 1/2 represents one part of a total of two equal parts.

Let’s Simplify It For You

A fraction is like a piece of a puzzle. Imagine you have a pizza and you want to share it with your friend. You can cut the pizza into two equal pieces, and each piece is called a fraction. The top number in a fraction, called the numerator, tells us how many pieces we have. The bottom number, called the denominator, tells us how many equal pieces the whole thing was cut into. So, if we have 1 piece of the pizza, we write it as 1/2 because we have 1 out of 2 equal pieces.

Parts Of Fractions

For example, in the fraction 3/4, the numerator is 3 and the denominator is 4.
This means we have 3 parts out of a total of 4 equal parts.

Properties Of Fractions

Properties of fractions refer to the basic rules and characteristics that define and govern the behavior of
fractions. The following are some important properties of fractions:

PROPERTIES

DESCRIPTION

CLOSURE PROPERTY:

The result of any mathematical operation between two fractions is always a fraction.

Commutative Property:

The order of the numerator and denominator in a fraction does not affect its value.

Associative Property:

The grouping of the numerator and denominator in a fraction does not affect its value.

Distributive Property:

The multiplication of a fraction by a whole number is the same as multiplying the numerator of the fraction by the whole number and dividing by the denominator.

Additive Inverse Property:

Every fraction has an additive inverse, which is the fraction with the same numerator and denominator with a different sign.

Multiplicative Inverse Property:

Every fraction except for 0 has a multiplicative inverse, which is the reciprocal of the fraction.

Simplifying Fractions:

A fraction can be simplified by dividing both the numerator and denominator by their greatest common factor.

Fractions and Decimals:

Fractions can be converted to decimals by dividing the numerator by the denominator.

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