PEAZIT Aha card
Go straight to resources ↓Fractions and decimals describe the same quantity
0.75 means 75 hundredths. Conversely, the fraction a/b means a divided by b.
| Expression | Meaning |
|---|---|
| 0.75 = 75/100 | Two decimal places indicate hundredths. |
| 75/100 = 3/4 | Divide numerator and denominator by 25. |
| 3 ÷ 4 = 0.75 | Division checks the reverse conversion. |
One worked example
- 0.75 = 75/100Two decimal places indicate hundredths.
- 75/100 = 3/4Divide numerator and denominator by 25.
- 3 ÷ 4 = 0.75Division checks the reverse conversion.
Watch out: Not every fraction has a terminating decimal. For example, 1/3 = 0.333…; a finite rounded value is no longer exact.
Goal, prerequisites and card origin
What you will learn: Convert a terminating decimal to a fraction and a simple fraction back.
What you need first: Tenths, hundredths and fraction simplification.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
0.75 means 75 hundredths. Conversely, the fraction a/b means a divided by b.