Decimals & Percents · Understand percents · 5.3

Percent & fraction.

A percent is a fraction out of 100, so 75% = 75/100 = 3/4. To turn a fraction into a percent, make it a decimal (or scale to /100) and multiply by 100.

01 / THE IDEA

See it work.

Watch the method

Percent ↔ fraction

3/4 = 0.75 = 75%.

1 / 2
34\frac{3}{4}
1

Make it out of 100

Convert to a decimal, then ×100 (or scale the fraction to /100).

34=0.75\frac{3}{4} = 0.75
2

Write as a percent

×100 and add %.

=75%= 75\%
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type a percent, e.g. 25%.

streak 0
best 0
… =
— / WHY IT WORKS

The idea underneath.

Through the decimal

Divide the fraction to a decimal, then ×100 for the percent (or scale the fraction to a denominator of 100).

Why it works

3/4 = 0.75 = 75%.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Write 3/8 as a percent.

1

Make it out of 100

Convert to a decimal, then ×100 (or scale the fraction to /100). 3/8 = 0.375

2

Write as a percent

×100 and add %. = 37.5%

EX 2medium

Write 3/5 as a percent.

1

Make it out of 100

Convert to a decimal, then ×100 (or scale the fraction to /100). 3/5 = 0.6

2

Write as a percent

×100 and add %. = 60%

EX 3hard

Write 1/2 as a percent.

1

Make it out of 100

Convert to a decimal, then ×100 (or scale the fraction to /100). 1/2 = 0.5

2

Write as a percent

×100 and add %. = 50%

04 / COMMON TRAPS

Where students slip.

Trap

Forgetting the ×100.

Fix

0.75 = 75%, not 0.75%.

Trap

Leaving the fraction unsimplified context.

Fix

Convert the value, not just the numerator.

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 2/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
C2

Write 1/25 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
C3

Write 1/2 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
C4

Write 1/10 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
Apply

Apply (4)

A1

Write 1/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
A2

Write 1/2 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
A3

Write 3/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
A4

Write 4/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
Extension

Extension (4)

E1

Write 1/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
E2

Write 1/2 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
E3

Write 2/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.
E4

Write 2/5 as a percent.

Need a hint?
  • Make the fraction a decimal.
  • Multiply by 100 and add %.