Concepts

Proportion is a statement that two ratios are equal. It can be written in two ways: as two equal fractions ab = cd or using a colon, a:b = c:d.

Rate – A ratio that compares two quantities with different kinds of units.
Unit Rate – A rate that is simplified so that it has a denominator of 1 unit.
Complex Fractions – fractions with a numerator, denominator, or both that are also fractions. They are simplified when both the numerator and denominator are integers.

Rule

Write the complex fractions as a division problem with the upper fraction written first followed by a division symbol and then write the lower part of the complex fraction.

Example

Choose the correct division problem that represents the given complex fraction.

3435

Solution

1. Write in the division form.
34 ÷ 35

Answer: 34 ÷ 35

Pre-requisite Skills

write-improper-fractions-as-mixed-number (5.7.1)

write-mixed-number-as-improper-fraction (5.7.2)

Simplifying Fractions (5.10.6)