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Represent Decimal Numbers as Fractions

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Represent Decimal Numbers as Fractions

TEKS Math: 6.4.G

(G) Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money

AU Math: ACMNA157

(Y7) Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

CCSS Math: 7.EE.3

7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

This number sense lesson focuses on converting decimals to fractions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students convert the decimal to a fraction by placing the decimal value over 10, 100, or 1,000 as appropriate. Students then reduce the fraction if it is needed. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.

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Standard Alignments:

TEKS Math: 6.4.G

(G) Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money

AU Math: ACMNA157

(Y7) Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

CCSS Math: 7.EE.3

7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.


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