Fractions · What is a fraction? · 1.1

Parts of a whole.

A fraction names part of a whole. The bottom (denominator) says how many equal parts the whole is split into; the top (numerator) says how many you have.

01 / THE IDEA

See it work.

Picture it

Shaded parts out of the whole.

3/8

Watch the method

Parts of a whole

In 3/8, the whole is 8 equal parts and 3 are shaded.

1 / 1
38\frac{3}{8}
1

Name the fraction

Shaded parts on top, total parts on the bottom.

38\frac{3}{8}
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.

Numerator and denominator

Split the whole into equal parts (the denominator), then count how many you take (the numerator). The parts must be EQUAL.

Why it works

A pizza cut into 8 slices; 3 slices is 3/8.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

2 parts are shaded out of 3 — write the fraction.

1

Name the fraction

Shaded parts on top, total parts on the bottom. 2/3

EX 2medium

6 parts are shaded out of 7 — write the fraction.

1

Name the fraction

Shaded parts on top, total parts on the bottom. 6/7

EX 3hard

1 parts are shaded out of 7 — write the fraction.

1

Name the fraction

Shaded parts on top, total parts on the bottom. 1/7

04 / COMMON TRAPS

Where students slip.

Trap

Counting unequal parts.

Fix

The pieces must be the same size for a fraction to make sense.

Trap

Writing total/shaded by mistake.

Fix

Shaded on top, total on the bottom.

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

2 parts are shaded out of 3 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
C2

7 parts are shaded out of 8 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
C3

7 parts are shaded out of 8 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
C4

1 parts are shaded out of 7 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
Apply

Apply (4)

A1

6 parts are shaded out of 7 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
A2

1 parts are shaded out of 2 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
A3

1 parts are shaded out of 2 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
A4

5 parts are shaded out of 6 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
Extension

Extension (4)

E1

1 parts are shaded out of 7 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
E2

1 parts are shaded out of 7 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
E3

6 parts are shaded out of 7 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.
E4

1 parts are shaded out of 4 — write the fraction.

Need a hint?
  • Count the shaded parts for the top.
  • Count all the equal parts for the bottom.