Add Decimal Numbers by converting to Fraction Form

Examples, videos, and solutions to help Grade 4 students learn how to add decimal numbers by converting to fraction form.

Topic D: Addition with Tenths and Hundredths

Common Core Standards: 4.NF.5, 4.NF.6, 4.NF.3c, 4.MD.1

NYS Common Core Grade 4 Module 6, Lesson 13

Worksheets for Grade 4

Lesson 13 Concept Development
Problem 1: Add two decimal numbers less than 1 by converting to fraction form.
Problem 2: Add two decimal numbers involving whole numbers and like fractional units by converting to fractional form.
Problem 3: Add two decimal numbers involving whole numbers, tenths, and hundredths with unlike units by converting to fractional form.

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Lesson 13 Problem Set

1. Solve. Convert tenths to hundredths before finding the sum. Rewrite the complete number sentence in decimal form. Problems 1(a) and 1(b) are partially completed for you.
2. Solve. Then rewrite the complete number sentence in decimal form.
3. Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form.
   a. 6.4 + 5.3
   b. 6.62 + 2.98
   c. 2.1 + 0.94
   d. 2.1 + 5.94
   e. 5.7 + 4.92
   f. 5.68 + 4.9
   g. 4.8 + 3.27
   h. 17.6 + 3.59

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Lesson 13 Homework

1. Solve. Convert tenths to hundredths before finding the sum. Rewrite the complete number sentence in decimal form. Problems 1(a) and 1(b) are partially completed for you.
2. Solve. Then rewrite the complete number sentence in decimal form.
3. Solve by rewriting the number sentence in fraction form. After solving, rewrite the complete number sentence in decimal form.
   a. 2.1 + 0.87
   b. 7.2 + 2.67
   c. 7.3 + 1.8
   d. 7.3 + 1.86
   e. 6.07 + 3.93
   f. 6.87 + 3.9
   g. 8.6 + 4.67
   h. 18.62 + 14.7

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Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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