Fractions and Decimals Worksheets for Class 5 Maths

To convert a fraction to a decimal in Class 5, the simplest method is to divide the numerator by the denominator. This fraction decimal conversion is a core skill.

Here are the steps:

1. Take the fraction, for example, 3/4.
2. Divide the numerator (3) by the denominator (4).
3. So, 3 ÷ 4 = 0.75.
4. Therefore, the fraction 3/4 is equal to the decimal 0.75.

The main difference between fractions and decimals is how they represent parts of a whole number. While they can represent the same value, their formats are different.

• Fractions show a part of a whole using a numerator and a denominator (e.g., 1/2).
• Decimals show a part of a whole using the base-10 system and a decimal point (e.g., 0.5).
• Both 1/2 and 0.5 represent the same value, just in different forms.

A mixed number is a number that consists of a whole number and a proper fraction combined. These are often used in fraction word problems for grade 5 to represent quantities greater than one.

• For example, 2 ½ is a mixed number.
• It means two whole units and one-half of another unit.
• To use it in calculations, it's often converted to an improper fraction (5/2).

This practice worksheet for Class 5 includes a variety of activities to build strong conceptual understanding of fractions and decimals. The goal is to make learning engaging and effective.

• Convert Fractions to Decimals: Basic conversion exercises.
• Convert Decimals to Fractions: The reverse operation to ensure full understanding.
• Visual Problems: Identifying decimals on number lines or from shaded shapes.
• Word Problems: Applying concepts of mixed numbers and decimal fractions to real-life scenarios.

Yes, this Class 5 Maths Fractions Decimals worksheet is available as a free, printable PDF. You can easily download the file and print it for at-home practice, holiday homework, or revision before tests.

Yes, a detailed answer key is provided with this worksheet with solutions. The answer key allows parents and students to check the solved problems for accuracy, making it a great tool for self-study and confident learning.

This worksheet reinforces learning by using a mix of problem types that cater to different learning styles. By practicing varied questions, students can build confidence and achieve a deeper understanding.

• It combines procedural practice (fill in the blanks) with conceptual tasks (visual problems).
• The inclusion of multi-step word problems helps students apply mathematical concepts to real-world situations.
• This multi-faceted approach ensures better retention of fraction to decimal rules.

To write the fraction 5/8 as a decimal, you divide the numerator (5) by the denominator (8). This is a standard fraction to decimal conversion problem for grade 5.

1. Set up the division: 5 ÷ 8.
2. Since 8 cannot go into 5, you add a decimal point and a zero: 5.0.
3. The calculation 5.0 ÷ 8 results in 0.625.
4. So, the fraction 5/8 is equal to the decimal 0.625.

This math worksheet for 5th grade is designed to build several essential mathematical skills beyond just calculation. It helps students develop a strong foundation in number operations.

• Number Sense: A better feel for the relationship between fractions, decimals, and whole numbers.
• Problem-Solving: The ability to tackle multi-step word problems and apply logic.
• Accuracy: Practice in precise calculation for fraction decimal conversion.
• Conceptual Understanding: A solid grasp of how to compare, order, and represent fractions and decimals.