Fractions · Decimals & percents · 9.1

Fraction → decimal.

A fraction is a division, so a fraction becomes a decimal by dividing the top by the bottom (or by scaling to tenths/hundredths).

01 / THE IDEA

See it work.

Watch the method

Fraction → decimal

3/4 = 3 ÷ 4 = 0.75.

1 / 1
34\frac{3}{4}
1

Divide top by bottom

A fraction is a division.

3÷4=0.753 \div 4 = 0.75
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
… =
— / WHY IT WORKS

The idea underneath.

Divide for a decimal

n/d = n ÷ d. Fractions with denominators like 2, 4, 5, 10, 25 give neat decimals.

Why it works

Three-quarters of 1 is 0.75.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Write as a decimal 8/25

1

Divide top by bottom

A fraction is a division. 8 \div 25 = 0.32

EX 2medium

Write as a decimal 1/2

1

Divide top by bottom

A fraction is a division. 1 \div 2 = 0.5

EX 3hard

Write as a decimal 13/20

1

Divide top by bottom

A fraction is a division. 13 \div 20 = 0.65

04 / COMMON TRAPS

Where students slip.

Trap

Dividing bottom by top.

Fix

Top ÷ bottom.

Trap

Misplacing the decimal point.

Fix

Line up the place values.

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 decimal 8/25

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
C2

Write as a decimal 17/20

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
C3

Write as a decimal 1/2

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
C4

Write as a decimal 2/5

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
Apply

Apply (4)

A1

Write as a decimal 1/2

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
A2

Write as a decimal 19/20

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
A3

Write as a decimal 12/25

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
A4

Write as a decimal 2/4

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
Extension

Extension (4)

E1

Write as a decimal 13/20

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
E2

Write as a decimal 5/10

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
E3

Write as a decimal 1/4

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.
E4

Write as a decimal 8/20

Need a hint?
  • Divide the top by the bottom.
  • Or scale to /10 or /100.