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5th grade

Course: 5th grade > Unit 2

Lesson 1: Common fractions and decimals
Math
5th grade
Add decimals
Common fractions and decimals
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Common fractions and decimals

Google Classroom
Build intuition behind memorizing the decimal form of common fractions like that 1/2 equals 0.5 or 3/4 equals 0.75. 
Some fractions are so common that it's worth memorizing the decimal form. Here are a few of the most common fractions and their decimal forms:
start fraction, 1, divided by, 2, end fraction, equals, 0, point, 5, space, space, space, space, space, space, space, space
start fraction, 1, divided by, 4, end fraction, equals, 0, point, 25, space, space, space, space, space, space, space, space
start fraction, 1, divided by, 5, end fraction, equals, 0, point, 2, space, space, space, space, space, space, space, space
Sweet. Now that we know these three common fractions, let's use them to convert other fractions to decimals and decimals to fractions.

Practice 1: Converting from fractions to decimals

Convert the following fractions to decimals. Don't use a calculator! The goal is to be able to figure these out quickly in your head.
start fraction, 1, divided by, 2, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 1, divided by, 4, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 2, divided by, 4, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 3, divided by, 4, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 1, divided by, 5, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 2, divided by, 5, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 3, divided by, 5, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

start fraction, 4, divided by, 5, end fraction, equals
  • Your answer should be
  • an exact decimal, like 0, point, 75

Practice 2: Converting from decimals to fractions

Convert the following decimals to fractions. Just like in the last section, please try to do these in your head.
0, point, 2, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 25, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 4, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 5, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 6, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 75, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

0, point, 8, equals
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5

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