Greenwood's Guide to Adding and Subtracting Fractions with Like Denominators

Fractions are a fundamental part of mathematics and are used in various real-world applications. Understanding how to add and subtract fractions with like denominators is essential for students to progress in their mathematical journey. This article will provide a comprehensive explanation of the concept, step-by-step instructions, and plenty of practice problems for students to master this skill.

The denominator of a fraction represents the number of equal parts into which a whole has been divided. When two fractions have the same denominator, they are said to have like denominators.

For example, in the fractions 1/4 and 2/4, the denominator 4 indicates that the whole has been divided into four equal parts.

The Greenwoods Add and Subtract Fractions with Like Denominators

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To add fractions with like denominators, simply add the numerators (the numbers on top) and keep the denominator (the number on the bottom) the same.

Step 1: Add the Numerators

Add the numerators of the fractions. For example:

1/4 + 2/4 = (1 + 2)/4

Step 2: Keep the Denominator

The denominator remains the same.

(1 + 2)/4 = 3/4

Example:

Add the fractions 1/5 and 2/5:

1/5 + 2/5 = (1 + 2)/5 = 3/5

Subtracting fractions with like denominators follows a similar process to addition. Simply subtract the numerators and keep the denominator the same.

Step 1: Subtract the Numerators

Subtract the numerator of the second fraction from the numerator of the first fraction. For example:

3/5 - 1/5 = (3 - 1)/5

Step 2: Keep the Denominator

The denominator remains the same.

(3 - 1)/5 = 2/5

Example:

Subtract the fractions 2/7 from 4/7:

4/7 - 2/7 = (4 - 2)/7 = 2/7

Addition:

1. Add the fractions 1/3 and 2/3.
2. Find the sum of 4/5 and 1/5.
3. Add the fractions 3/8, 1/8, and 2/8.

Subtraction:

1. Subtract the fractions 5/6 from 2/6.
2. Find the difference between 4/9 and 1/9.
3. Subtract the fractions 3/10 from 7/10.

Adding and subtracting fractions with like denominators is a fundamental skill in mathematics. By understanding the concept of like denominators and following the step-by-step instructions outlined in this article, students can confidently solve these types of problems. Regular practice and a strong understanding of this skill will pave the way for success in more advanced mathematical concepts.

The Greenwoods Add and Subtract Fractions with Like Denominators

5 out of 5

Language	:	English
File size	:	11188 KB
Print length	:	14 pages

FREE