Fractions · Decimals & percents · 9.3

Fraction ↔ percent.

Percent means “per hundred”. Turn a fraction into a percent by writing it with denominator 100 (or multiply the decimal by 100).

01 / THE IDEA

See it work.

Watch the method

Fraction ↔ percent

3/4 = 75/100 = 75%.

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

Out of 100

Percent means per hundred.

34=75100=75%\frac{3}{4} = \frac{75}{100} = 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.

Out of a hundred

Scale the fraction to hundredths, or convert to a decimal and ×100.

Why it works

3/4 fills 75 of every 100.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Write as a percent 17/25

1

Out of 100

Percent means per hundred. 17/25 = 68/100 = 68\%

EX 2medium

Write as a percent 3/4

1

Out of 100

Percent means per hundred. 3/4 = 75/100 = 75\%

EX 3hard

Write as a percent 1/2

1

Out of 100

Percent means per hundred. 1/2 = 50/100 = 50\%

04 / COMMON TRAPS

Where students slip.

Trap

Forgetting the % sign / the ×100.

Fix

A percent is per hundred.

Trap

Confusing 0.75 with 7.5%.

Fix

0.75 = 75%.

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 percent 17/25

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
C2

Write as a percent 11/25

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
C3

Write as a percent 6/10

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
C4

Write as a percent 1/5

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
Apply

Apply (4)

A1

Write as a percent 3/4

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
A2

Write as a percent 6/20

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
A3

Write as a percent 3/10

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
A4

Write as a percent 2/4

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
Extension

Extension (4)

E1

Write as a percent 1/2

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
E2

Write as a percent 19/25

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
E3

Write as a percent 7/20

Need a hint?
  • Write it over 100.
  • Or decimal × 100.
E4

Write as a percent 18/20

Need a hint?
  • Write it over 100.
  • Or decimal × 100.