Fraction to Decimal Fun: Diving into Division!

Mathematics Grades 5th Grade 8:30 Video
Print Lesson Plan Watch Video

Lesson Description

Learn how to turn fractions into decimals using division, just like Mr. J! We'll explore long division, rounding, and repeating decimals.

Video Resource

How to Convert Fractions to Decimals

Math with Mr. J

Duration: 8:30
Watch on YouTube

Key Concepts

  • Fractions represent parts of a whole.
  • Decimals are another way to represent parts of a whole.
  • Division is the process used to convert a fraction to a decimal.
  • Rounding is used when a decimal is very long.
  • Repeating decimals have a pattern that goes on forever.

Learning Objectives

  • Students will be able to convert fractions to decimals using long division.
  • Students will be able to round decimals to the nearest thousandth.
  • Students will be able to identify and represent repeating decimals.
  • Students will be able to interpret remainders as decimals.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what fractions and decimals represent. Ask students for examples of fractions and decimals they see in everyday life. Introduce the idea that fractions and decimals are two ways of showing the same amount. Show the video 'How to Convert Fractions to Decimals' by Math with Mr. J.
  • Guided Practice (15 mins)
    Work through the examples from the video as a class. Pause the video at each example and have students try to solve it on their own first. Then, go through the solution step-by-step, explaining the long division process. Emphasize the importance of place value when writing decimals. Show students how to properly write repeating decimals using the bar notation. Discuss rounding rules.
  • Independent Practice (15 mins)
    Provide students with a worksheet of fraction-to-decimal conversion problems. Include a variety of fractions, some that result in terminating decimals and some that result in repeating decimals. Instruct students to show their work using long division and to round their answers to the nearest thousandth if necessary.
  • Wrap-up (5 mins)
    Review the key concepts from the lesson. Ask students to summarize the steps involved in converting a fraction to a decimal. Collect the worksheets for assessment.

Interactive Exercises

  • Fraction-Decimal Matching Game
    Create a set of cards with fractions on some cards and their decimal equivalents on other cards. Have students work in pairs to match the fractions to their decimal equivalents.
  • Online Fraction-to-Decimal Converter
    Use an online tool to convert fractions to decimals and check answers. Discuss the calculator's output and compare it to long division results.

Discussion Questions

  • Why is it important to know how to convert fractions to decimals?
  • Can all fractions be converted to decimals that end?
  • How does understanding place value help you with converting fractions to decimals?
  • What are some real-world examples where you might need to convert a fraction to a decimal?

Skills Developed

  • Long division
  • Decimal place value
  • Rounding
  • Problem-solving
  • Critical thinking

Multiple Choice Questions

Question 1:

To change a fraction to a decimal, you should:

Correct Answer: Divide the numerator by the denominator.

Question 2:

What is 1/2 as a decimal?

Correct Answer: 0.5

Question 3:

What is 3/4 as a decimal?

Correct Answer: 0.75

Question 4:

When rounding to the nearest thousandth, you look at the digit in the _______ place.

Correct Answer: Ten-thousandths

Question 5:

What does the bar over a decimal number mean?

Correct Answer: The number is repeating.

Question 6:

Which of these fractions will result in a repeating decimal?

Correct Answer: 1/3

Question 7:

2/5 is equal to which decimal?

Correct Answer: 0.4

Question 8:

If you divide 1 by 3, what kind of decimal do you get?

Correct Answer: A repeating decimal

Question 9:

Which decimal is equivalent to 9/25?

Correct Answer: 0.36

Question 10:

What place value is the 8 in the number 0.187?

Correct Answer: Hundredths

Fill in the Blank Questions

Question 1:

The top number in a fraction is called the ________.

Correct Answer: numerator

Question 2:

The bottom number in a fraction is called the ________.

Correct Answer: denominator

Question 3:

When a decimal keeps going on forever, it is called a ________ decimal.

Correct Answer: repeating

Question 4:

To convert a fraction to a decimal, you ________ the numerator by the denominator.

Correct Answer: divide

Question 5:

0.75 is the decimal form of the fraction ________.

Correct Answer: 3/4

Question 6:

Rounding to the nearest thousandth means you stop at the ________ place after the decimal.

Correct Answer: thousandths

Question 7:

Mr. J says to ________ the numerator by the denominator to find the decimal.

Correct Answer: divide

Question 8:

A decimal that ends is called a ________ decimal.

Correct Answer: terminating

Question 9:

1/5 converted to a decimal is ________.

Correct Answer: 0.2

Question 10:

The symbol used to show a repeating decimal is a ________ over the repeating number.

Correct Answer: bar

Educational Standards

5.N.1:Read, write, represent, and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations. 5.N.2.2:Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms. 5.N.1.2:Read, write, and represent decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers up to seven digits.

Teaching Materials

Download ready-to-use materials for this lesson:

Student Worksheet Classroom Slides Assessment Quiz
Add to Google Classroom

User Actions

Sign in to save this lesson plan to your favorites.

Sign In

Share This Lesson

Related Lesson Plans