1 / 13

Decimal to Fraction Conversion in Math

Learn how to convert decimals to fractions and vice versa, using various representations like expanded form and mixed fractions. Practice exercises included!

haga
Download Presentation

Decimal to Fraction Conversion in Math

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Converting Simple Decimals to Fractions and Vice Versa

  2. Today’s Learning Goals • We will continue to link our understanding of fractions with decimals. • We will continue to develop our understanding of place value when determining the fraction equivalence of decimals.

  3. Representing Decimals • Recently, we have seen how to represent a decimal number to the hundredths using a rectangle cut up into 100 parts. • For example, how would we represent the number 2.34 if we let the large rectangle below represent 1 whole? Good…we need 2 wholes and 34 hundredths.

  4. 2 3 4 tenths hundredths ones Nice… Decimals to Fractions • The number 2.34 and the representation above show different ways to write the number as a fraction. • First, you could write the decimal out in expanded form. Expanded form shows the value of each place. • How would we write 2.34 in expanded form?

  5. 2 3 4 tenths hundredths ones Good… Decimals to Fractions • Another way to write a decimal is as a mixed fraction. • When writing a decimal as a mixed fraction, we must state how many wholes there are and then what part of another whole by combining everything to the right of the decimal place. • How would we write 2.34 as a mixed fraction?

  6. 2 3 4 tenths hundredths ones Good… Decimals to Fractions • A third way to write a decimal is just as a single fraction. • When writing a decimal as a single fraction, we must combine all place values together. • How would we write 2.34 as a single fraction?

  7. c) a) b) d) e) f) Fractions to Decimals • As we have discussed, all decimal numbers are fractions with a denominator that is a power of 10 (e.g. tenths, hundredths). • Consider the following fractions. How would you write the following as decimals? = 0.3 = 0.06 = 0.52 = 2.6 = 35.24 = 1.07

  8. Awesome… = 0.4 Fractions to Decimals • Suppose the fraction was . This fraction is not in tenths or hundredths. What could we do to write this fraction as a decimal? Excellent…we could get an equivalent fraction for 2/5. • Now that we have 2/5 written with a base-10 denominator, how could we write 2/5 as a decimal?

  9. a) b) c) Fractions to Decimals • Consider the following fractions. How would you write the following as decimals?

  10. Partner Work • You have 20 minutes to work on the following problems with your partner.

  11. For those that finish early What number does each letter represent? E C D A B 0.05 0.1 0.15 0.2 0.25 0

  12. Big Idea from Today’s Lesson • We can represent the same decimal number in many different ways. • In expanded form, mixed fraction form, or as a single fraction. • One way to go from a fraction to a decimal is to get the fraction to have a denominator that is a power of 10.

  13. Homework • Complete Homework Worksheet. • Pg. 155 (2, 3, 15, 17, 18)

More Related