Subtracting fractions is a fundamental skill in math. When subtracting fractions, the key is to have a common denominator. Here's a step-by-step guide to help you understand and master subtracting fractions:

In order to subtract fractions, they must have the same denominator. If the fractions you are working with have different denominators, you'll need to find a common denominator. This is the number that both denominators can evenly divide into.

Once you have a common denominator, you can adjust the fractions by multiplying the numerator and denominator of each fraction by the same number so that they have the same denominator.

After adjusting the fractions, you can subtract the numerators while keeping the denominator the same.

If the resulting fraction can be simplified, make sure to simplify it.

Let's subtract 3/4 - 1/4

Step 1: The denominators are the same, so no need to find a common denominator.

Step 2: Subtract the numerators: 3 - 1 = 2

Step 3: The result is 2/4

Step 4: Simplify. 2/4 simplifies to 1/2

So, 3/4 - 1/4 = 1/2

Now that you understand the steps, let's practice with some exercises!

.Study GuideSubtracting Fractions Worksheet/Answer key

Subtracting Fractions Worksheet/Answer key

Subtracting Fractions Worksheet/Answer key

Subtracting Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.