Subtracting Mixed Numbers with Like Denominators – Class 5 Maths Worksheet

The easiest way to subtract mixed numbers with regrouping is to borrow '1' from the larger whole number and convert it into a fraction. This method makes the subtraction straightforward.

1. Identify the Need: You need to regroup or borrow when the top fraction is smaller than the bottom fraction (e.g., in 5 1/4 - 2 3/4).
2. Borrow from the Whole Number: Reduce the whole number by 1. In our example, 5 becomes 4.
3. Convert '1' to a Fraction: Add a fraction equivalent to '1' (with the like denominator) to the existing fraction. For 5 1/4, you add 4/4 to 1/4, making it 4 5/4.
4. Subtract: Now you can easily subtract the fractions (5/4 - 3/4 = 2/4) and the whole numbers (4 - 2 = 2). The answer is 2 2/4, which simplifies to 2 1/2.

Borrowing in fraction subtraction involves taking '1' from the whole number part and adding its fractional equivalent to the fraction part. This process is also known as regrouping in fractions.

• For example, to solve 7 3/8 – 4 5/8, you see that 3/8 is smaller than 5/8.
• You 'borrow' 1 from the 7, making it 6.
• The '1' you borrowed is converted to a fraction with the same denominator, which is 8/8.
• Add this to the existing fraction: 8/8 + 3/8 = 11/8.
• Your problem is now 6 11/8 – 4 5/8, which is easy to solve.

This page provides a free maths worksheet PDF specifically for subtracting mixed numbers, designed for Grade 5 students. You can easily download and print it for homework, revision, or extra practice at home.

• The worksheet is available in a printable format.
• It includes a variety of problems, including some that require borrowing in fractions.
• An answer key is provided for easy checking and self-assessment.

Yes, this fraction subtraction worksheet for Class 5 comes with a complete answer key. The answer key provides step-by-step solutions, which is especially helpful for understanding the process of subtracting with regrouping.

• Having a worksheet with answers allows students to check their work independently.
• It helps parents and teachers quickly assess a child's understanding of subtracting fractions with the same denominator.

A mixed number is a number that consists of a whole number and a proper fraction combined. It represents a value greater than one and is a fundamental concept in fraction basics.

• Example: In the mixed number 3 1/2, '3' is the whole number and '1/2' is the fraction.
• It is another way of writing an improper fraction (a fraction where the numerator is larger than the denominator). For instance, 3 1/2 is the same as 7/2.

Practicing with a dedicated worksheet helps solidify understanding and build confidence in subtracting mixed numbers. This arithmetic practice worksheet reinforces the core steps through repetition.

• Skill Reinforcement: It provides multiple opportunities to practice the steps of subtracting whole numbers and fractions, including the tricky concept of borrowing.
• Identifies Weaknesses: Repeated practice helps students and teachers identify common errors, such as forgetting to regroup or subtracting denominators.
• Builds Fluency: Regular practice on a printable subtracting fractions worksheet makes the process faster and more automatic.

To subtract fractions with similar or like denominators, you only need to subtract the numerators. The denominator of the fraction remains unchanged throughout the calculation.

1. Step 1: Ensure the denominators of both fractions are the same.
2. Step 2: Subtract the second numerator from the first numerator.
3. Step 3: Write the result over the original denominator.
4. Step 4: If the resulting fraction can be simplified, reduce it to its lowest terms.

For example, 7/9 - 2/9 = (7-2)/9 = 5/9.

This worksheet on subtracting mixed numbers builds several crucial arithmetic skills for Grade 5 students. It moves beyond basic fraction operations to more complex problem-solving.

• Fraction Subtraction: Reinforces how to subtract fractions with like denominators.
• Regrouping/Borrowing: Teaches the critical concept of borrowing in fractions, a key skill for advanced maths.
• Problem-Solving: Develops a step-by-step approach to solving multi-part arithmetic problems.
• Number Sense: Improves understanding of the relationship between whole numbers, mixed numbers, and improper fractions.

Before tackling the subtraction of mixed numbers, a student should be comfortable with a few foundational concepts. This ensures a smoother learning experience and better understanding of the process.

• Understanding Fractions: A solid grasp of what numerators and denominators represent.
• Basic Subtraction: Fluency in subtracting whole numbers.
• Subtracting Simple Fractions: The ability to subtract fractions with like denominators (e.g., 5/8 - 2/8).
• Improper Fractions: Knowing how to convert between mixed numbers and improper fractions can be very helpful, especially for regrouping.