teaching resource

Converting Decimals, Fractions and Percentages – Worksheet

Updated: 31 Aug 2023

Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.

Editable: Google Slides
Non-Editable: PDF
Pages: 2 Pages
Year: 6

Curriculum

VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>
VC2M6N05

Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions <ul> <li>representing addition and subtraction of fractions, using an understanding of equivalent fractions and methods such as jumps on a number line, or diagrams of fractions as parts of shapes</li> <li>determining the lowest common denominator using an understanding of prime and composite numbers to find equivalent representation of fractions when solving addition and subtraction problems</li> <li>calculating the addition or subtraction of fractions in the context of real-world problems (for example, using part cups or spoons in a recipe), using the understanding of equivalent fractions</li> <li>understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions; for example, using fraction overlays and number lines to give meaning to adding and subtracting fractions with related and unrelated denominators</li> </ul>
VC2M6N08

Approximate numerical solutions to problems involving rational numbers and percentages, using appropriate estimation strategies <ul> <li>using familiar fractions, decimals and percentages to approximate calculations, such as 0.3 of 180 is about 1/3 of 180, or 52% is about 1/2</li> <li>choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of 2, 5 or 10 and partitioning numbers, in contexts such as measuring or cost per unit</li> <li>recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between</li> <li>recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts</li> <li>verifying solutions by estimating percentages in suitable contexts, such as discounts, using common percentages of 10%, 25%, 30%, 50% and 1%</li> <li>investigating estimation strategies to make decisions about steam cooking in ground ovens by Aboriginal and/or Torres Strait Islander Peoples, including catering for different numbers of people and resources needed for cooking</li> </ul>

teaching resource

Converting Decimals, Fractions and Percentages – Worksheet

Updated: 31 Aug 2023

Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.

Editable: Google Slides
Non-Editable: PDF
Pages: 2 Pages
Year: 6

Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.

Convert a Percentage to a Decimal and a Fraction

Do your students understand the relationship between percentages, decimals, and fractions? If you are looking to give your students additional practice with this maths skill, look no further! Teach Starter has developed a worksheet where your students will strengthen their understanding of how these values are related.

With this worksheet, students must look at fractions and decimals and determine the percentage for each example. In addition, students will practise the skill of writing each percentage as a fraction and a decimal.

An answer key is included with your download to make marking fast and easy!

Tips for Differentiation + Scaffolding

In addition to independent student work time, use this worksheet as an activity for:

Guided math groups
Lesson warm-up
Lesson wrap-up
Fast finishers
Homework assignment
Whole-class review (via smartboard)

If students are looking for an additional challenge, encourage them to write three word problems on the back of the worksheet that involve converting between fractions, decimals, and/or percentages.

For students who need a bit of support, require the student to only write the decimal or fraction (rather than both) on the bottom half of the worksheet.

🖨️ Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource.

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This resource was created by Cassandra Friesen, a Teach Starter Collaborator.

Curriculum

VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>
VC2M6N05

Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions <ul> <li>representing addition and subtraction of fractions, using an understanding of equivalent fractions and methods such as jumps on a number line, or diagrams of fractions as parts of shapes</li> <li>determining the lowest common denominator using an understanding of prime and composite numbers to find equivalent representation of fractions when solving addition and subtraction problems</li> <li>calculating the addition or subtraction of fractions in the context of real-world problems (for example, using part cups or spoons in a recipe), using the understanding of equivalent fractions</li> <li>understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions; for example, using fraction overlays and number lines to give meaning to adding and subtracting fractions with related and unrelated denominators</li> </ul>
VC2M6N08

Approximate numerical solutions to problems involving rational numbers and percentages, using appropriate estimation strategies <ul> <li>using familiar fractions, decimals and percentages to approximate calculations, such as 0.3 of 180 is about 1/3 of 180, or 52% is about 1/2</li> <li>choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of 2, 5 or 10 and partitioning numbers, in contexts such as measuring or cost per unit</li> <li>recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between</li> <li>recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts</li> <li>verifying solutions by estimating percentages in suitable contexts, such as discounts, using common percentages of 10%, 25%, 30%, 50% and 1%</li> <li>investigating estimation strategies to make decisions about steam cooking in ground ovens by Aboriginal and/or Torres Strait Islander Peoples, including catering for different numbers of people and resources needed for cooking</li> </ul>

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