Comparing fractions with different numerators and denominators

Comparing fractions with different numerators and denominators
Description
Exercise Name:	Comparing fractions with different numerators and denominators
Math Missions:	4th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission
Types of Problems:	1

The Comparing fractions with different numerators and denominators exercise appears under the 4th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise compares fractions in which the denominators are not the same and they are not often multiples of each other so that comparing is a little more complicated.

Types of Problems

There is one type of problem in this exercise:

1. Compare the fractions: This problem gives two fractions. The student is asked to compare them using either the less than, greater than, or equals symbols.

   

   Compare the fractions

Strategies

This exercise is easy to get accuracy badges because of many resources that can be used. The speed badges are also easy if stident use the correct techniques to go as fast as possible.

1. If accuracy is student's number one concern, a calculator can be used to make decimals and comparing decimals is generally easier.
2. If speed is student's number one concern, student can use the fact that ${\frac{a}{b} = \frac{c}{d} \iff ad=bc}$

Real-life Applications

1. Fractions, decimals, and percents are used in many sports such as basketball to determine how many field goals the player has made over how many they missed.
2. Fractions are used in real life in lots of different ways, but are commonly used in cooking, construction and science.