Fractions · Mixed & improper · 5.4

Mixed on a number line.

Mixed numbers sit past the whole numbers. 1 2/3 is between 1 and 2, two-thirds of the way along.

01 / THE IDEA

See it work.

On the number line

Where does it sit?

01232 2/3

Watch the method

Mixed on a number line

8/3 = 2 2/3 — between 2 and 3.

1 / 2
83\frac{8}{3}
1

Divide top by bottom

8 ÷ 3 = 2 remainder 2.

8÷3=2 r 28 \div 3 = 2\text{ r }2
2

Write the mixed number

Whole part, then remainder over the denominator.

2232\frac{2}{3}
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.

Placing mixed numbers

Convert to mixed to find the interval (between which wholes), then step the fraction part inside it.

Why it works

Past 2, two-thirds toward 3.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Write as a mixed number 7/3

1

Divide top by bottom

7 ÷ 3 = 2 remainder 1. 7 \div 3 = 2\text{ r }1

2

Write the mixed number

Whole part, then remainder over the denominator. 21/3

EX 2medium

Write as a mixed number 17/5

1

Divide top by bottom

17 ÷ 5 = 3 remainder 2. 17 \div 5 = 3\text{ r }2

2

Write the mixed number

Whole part, then remainder over the denominator. 32/5

EX 3hard

Write as a mixed number 5/2

1

Divide top by bottom

5 ÷ 2 = 2 remainder 1. 5 \div 2 = 2\text{ r }1

2

Write the mixed number

Whole part, then remainder over the denominator. 21/2

04 / COMMON TRAPS

Where students slip.

Trap

Placing it before its whole part.

Fix

2 2/3 is after 2, not before.

Trap

Splitting the unit into the wrong number of steps.

Fix

Use the denominator.

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 mixed number 7/3

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
C2

Write as a mixed number 5/2

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
C3

Write as a mixed number 6/5

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
C4

Write as a mixed number 14/6

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
Apply

Apply (4)

A1

Write as a mixed number 17/5

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
A2

Write as a mixed number 15/4

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
A3

Write as a mixed number 9/4

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
A4

Write as a mixed number 5/4

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
Extension

Extension (4)

E1

Write as a mixed number 5/2

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
E2

Write as a mixed number 14/6

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
E3

Write as a mixed number 3/2

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.
E4

Write as a mixed number 6/5

Need a hint?
  • Convert to mixed for the interval.
  • Step the fraction inside.