Move between fractions, decimals and percentages, order mixed lists, and turn recurring decimals into fractions.
What you will learn
- Convert between fractions, decimals and percentages
- Order a mixed list
- Tell which fractions terminate
- Write a recurring decimal as a fraction (Higher)
Three ways to write the same number
- Fraction to decimal: divide the top by the bottom, or make the bottom 10, 100 or 1000. 3/8 = 375/1000 = 0.375.
- Decimal to fraction: 0.375 is 375 thousandths, 375/1000 = 3/8.
- Percentage means out of 100: 35% = 35/100 = 7/20 = 0.35. To write a percentage as a decimal, divide by 100; to write a decimal as a percentage, multiply by 100: 0.62 = 62%.
- A percentage with a decimal: 17.5% = 17.5/100 = 175/1000 = 7/40.
To order a mixed list, write everything as a decimal first.
The rest of this lesson and its 7 practice questions are locked.
In this lesson
- Three ways to write the same number
- Terminating and recurring
- Recurring decimals to fractions (Higher)
- Try it: Percentages and decimals side by side
7 practice questions, marked as you go; about 25 minutes in all.
Key terms
Terminating, Recurring
In this unit: Fractions, decimals and percentages
Calculate with fractions and mixed numbers, move between fractions, decimals and percentages, and solve percentage problems, including reverse percentages.
- Working with fractions
- Multiplying and dividing fractions
- Fractions, decimals and percentages
- Percentages
- Reverse percentages and repeated change