Fractions · Decimals & percents · 9.2

Decimal → fraction.

A decimal becomes a fraction by reading the place value (tenths, hundredths) and then simplifying.

01 / THE IDEA

See it work.

Watch the method

Decimal → fraction

0.75 = 75/100 = 3/4.

1 / 2
0.750.75
1

Read the place value

Put the digits over the place value.

0.75=751000.75 = \frac{75}{100}
2

Simplify

Reduce to lowest terms.

75100=34\frac{75}{100} = \frac{3}{4}
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type a fraction like 3/4 or 1 1/2.

streak 0
best 0
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— / WHY IT WORKS

The idea underneath.

Read the place value

One decimal place → tenths; two → hundredths. Put the digits over that, then simplify.

Why it works

0.75 is 75 hundredths.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Write as a fraction 0.1

1

Read the place value

Put the digits over the place value. 0.1 = 1/10

EX 2medium

Write as a fraction 0.87

1

Read the place value

Put the digits over the place value. 0.87 = 87/100

EX 3hard

Write as a fraction 0.70

1

Read the place value

Put the digits over the place value. 0.70 = 70/100

2

Simplify

Reduce to lowest terms. 70/100 = 7/10

04 / COMMON TRAPS

Where students slip.

Trap

Forgetting to simplify.

Fix

75/100 reduces to 3/4.

Trap

Using the wrong place value.

Fix

Two decimal places means hundredths.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Write as a fraction 0.1

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
C2

Write as a fraction 0.09

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
C3

Write as a fraction 0.4

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
C4

Write as a fraction 0.8

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
Apply

Apply (4)

A1

Write as a fraction 0.87

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
A2

Write as a fraction 0.4

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
A3

Write as a fraction 0.12

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
A4

Write as a fraction 0.3

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
Extension

Extension (4)

E1

Write as a fraction 0.70

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
E2

Write as a fraction 0.9

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
E3

Write as a fraction 0.5

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.
E4

Write as a fraction 0.28

Need a hint?
  • Read the place value.
  • Put it over 10 or 100, then reduce.