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) 3253\frac{2}{5}%

    d) 0.55%

    a)
    Convert 145% into fraction and decimal

    b)
    Convert 54.8% into fraction and decimal

    c)
    Convert 3253\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)
    125\frac{1}{25}

    b)
    61200\frac{61}{200}

    c)
    54\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 513\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?