# Percents, fractions, and decimals

### Percents, fractions, and decimals

In this section, we will learn how to convert between fractions, decimals and percents. After this section, we will be able to convert fractions to decimals and percents; and convert percents to fractions and decimals.

#### Lessons

• Introduction
a)
How to convert between fractions and decimals?
• what is a fraction?
• convert fractions to decimals
• convert decimals to fractions

b)
How to convert percents, fractions, and decimals?
• percents to fractions to decimals
• decimals to fractions to percents
• fractions to percents to decimals

• 1.
Complete the table below.
 Percent Fraction Decimal a) 145% b) 54.8% c) $3\frac{2}{5}$% d) 0.55%
a)
Convert 145% into fraction and decimal

b)
Convert 54.8% into fraction and decimal

c)
Convert $3\frac{2}{5}$% into fraction and decimal

d)
Convert 0.55% into fraction and decimal

• 2.
Convert each fraction to a decimal and a percent
a)
$\frac{1}{25}$

b)
$\frac{61}{200}$

c)
$\frac{5}{4}$

• 3.
Convert each decimal to percents and fractions
a)
0.8

b)
0.014

c)
2.32

• 4.
Leo only used 42 minutes to finish a one-hour test. What percentage of the test time did he use to finish the test?

• 5.
A miner acquired 5$\frac{1}{3}$ gram of silver in a 200-gram sample of ore.
a)
What percent of the sample is silver to the nearest hundredth of a percent?

b)
What is the percent as a repeating decimal and as a fraction in lowest terms?