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Converting Fractions to Decimals - Using Equivalent Fractions WORKSHEET
Suitable for Grades: 4th Grade, 5th Grade
CCSS: 4.NF.C.6, 5.NBT.A.3
CCSS Description: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
CCSS Description: Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base‑ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
CCSS Description: Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base‑ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Converting Fractions to Decimals - Using Equivalent Fractions WORKSHEET DESCRIPTION
Provide students with a step-by-step route to converting fractions into decimals by using equivalent fractions with this worksheet.
Section A starts with straightforward practice, where fractions with denominators of 10, 100, or 1000 are written directly as decimals. Section B builds on this by asking students to consider factors of 10, 100, and 1000 before using these answers to find equivalent fractions with denominators of powers of 10. Section C then develops fluency with a wider variety of fractions, asking learners to convert them into decimals through equivalent forms. Finally, Section D extends the learning with reasoning and problem-solving tasks, including comparisons and explanations of when the method does not work.
The gradual build-up from routine conversions to deeper reasoning makes this resource ideal for strengthening understanding of the relationship between fractions and decimals.
Section A starts with straightforward practice, where fractions with denominators of 10, 100, or 1000 are written directly as decimals. Section B builds on this by asking students to consider factors of 10, 100, and 1000 before using these answers to find equivalent fractions with denominators of powers of 10. Section C then develops fluency with a wider variety of fractions, asking learners to convert them into decimals through equivalent forms. Finally, Section D extends the learning with reasoning and problem-solving tasks, including comparisons and explanations of when the method does not work.
The gradual build-up from routine conversions to deeper reasoning makes this resource ideal for strengthening understanding of the relationship between fractions and decimals.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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This converting fractions to decimals - using equivalent fractions worksheet is designed for students in 4th Grade and 5th Grade and aligns with Common Core State Standards.