Fourth Grade · Math · week 34

Connecting fractions and decimals

Convert between fractions and decimals fluently and compare values across both forms.

Fractions and decimals are two different names for the same amount. Any fraction with denominator 10 or 100 converts directly: the numerator becomes the decimal digits.

A fraction with a different denominator, like fourths, can still convert by first finding an equivalent fraction with a denominator of 10 or 100, using the multiplication rule from a few weeks ago.

📋 For the teacher
Teach it (10–15 min):
  • Keep the hundredths grid from last week handy; shading the equivalent fraction and reading off the decimal makes the connection visible.
  • Teach the "find an equivalent fraction out of 100" trick as working for denominators that divide evenly into 100, like 2, 4, 5, 10, 20, 25, and 50.
  • When comparing a fraction and a decimal, convert BOTH into the same form so it is a fair comparison.
  • Celebrate when a fraction and decimal turn out to be exactly equal, like 3/5 and 0.6; that is the whole point of this connection.
Talk about it:
  • Why do we look for an equivalent fraction with denominator 10 or 100 to make a decimal?
  • How do you fairly compare a fraction and a decimal?
  • Which denominators convert easily into hundredths, and why?

Mastery looks like: They convert fluently between fractions (with denominators that divide evenly into 100) and decimals, and compare values across both forms.

Common stumbles: Writing the numerator directly as the decimal without adjusting for the denominator, like writing 1/4 as 0.1; miscounting decimal places when converting.

See it visually

Interactive, spoken-aloud tools that show this idea in motion.

FractionsSlice bars and circles into equal parts and compare them.try →
Homework for this lessonType it, write it with a stylus, or print it for pencil & paper.open →
Records attendance + 15 min of Math for this learner.
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