Table of Contents
Define Unit Fraction
A unit fraction is a fraction in which the numerator is 1. Unit fractions are also called unit fractions because the denominator is always 1.
Division of Fractions with Whole Numbers
The division of fractions with whole numbers is the process of dividing one fraction by another fraction where the numerator and denominator of both fractions are whole numbers.
To divide two fractions, divide the numerator of the first fraction by the denominator of the second fraction. This will give you the answer in terms of a whole number. Then, divide the numerator of the second fraction by the denominator of the first fraction to get the answer in terms of a fraction.
For example, divide 1/2 by 2/3.
1/2 ÷ 2/3 = 1/6
2/3 ÷ 1/2 = 3/2
Dividing Unit Fractions by Rational Numbers
To divide a unit fraction by a rational number, divide the numerator by the denominator.
For example, to divide 1/6 by 2, divide 1 by 2 to get 0.5.
Finding Volume with Cubes with Fraction Lengths
To find the volume of a cube with fractional lengths, use the formula for the volume of a cube, V = s3, where s is the length of a side. Convert the fractional lengths to decimals and multiply the decimals together.
Properties of Unit Fractions:
A unit fraction is a fraction whose numerator is 1.
Unit fractions are always positive.
The value of a unit fraction is always 1.
Unit fractions can be multiplied or divided by any positive number without changing their value.
Unit fractions can be converted to decimals by dividing their numerators by their denominators.
The reciprocal of a unit fraction is also a unit fraction.
Problems on Unit Fractions
1. Convert the following unit fractions to improper fractions:
1/4, 1/8, 1/16, 1/32
1/4 = 1/4
1/8 = 3/8
1/16 = 1/16
1/32 = 1/32
