Converting among decimals, fractions, and percents

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    • what is a fraction?
    • convert fractions to decimals
    • convert decimals to fractions
  1. Fill in the blank below.
    1. 310=โ–ก100=\frac{3}{10}=\frac{ \Box }{100}=____%
    2. 14=โ–ก100=\frac{1}{4}=\frac{ \Box }{100}=____%
    3. 75=โ–ก100=\frac{7}{5}=\frac{ \Box }{100}=____%
  2. Fill in the blank with the inequality >, < or = to make the statement true.
    1. 10%___0.3
    2. 98\frac{9}{8} ___100%
    3. 4.5___610\frac{6}{10}
  3. There are 20 people in the room below. What percent of people are the following colours?
    Converting among decimals, fractions, and percents
    1. Red
    2. Orange
    3. Blue
  4. The table shows the number of boys and girls in a school who play soccer.

    Play soccer

    Total population










    1. Estimate the percent of girls who play soccer. Then, calculate the percent using a calculator and round to the nearest tenth.
    2. Estimate the percent of boys who play soccer. Then, calculate the percent using a calculator and round to the nearest tenth.
    3. Estima el porcentaje de niรฑos en la escuela que juegan futbol soccer. Después, calcula el porcentaje usando una calculadora y redondea al décimo mรกs cercano.
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Topic Notes
In this section, we estimate percents as fractions and as decimals. When converting between percents, fractions, and decimals, we reference the place value system, first introduced in the previous section. For example, in the decimal number 0.34, we have 3 tenths and 4 hundredths, which can be expressed as, 310\frac{3}{10}+4100\frac{4}{100}. 0.34 can also be expressed as 30 hundredths and 4 hundredths, which can be written as 30100\frac{30}{100}+4100\frac{4}{100}=34100\frac{34}{100}. We also discuss how "cent" in the word "percent" refers to "hundred" . 34100\frac{34}{100} means 34 per 100 or 34 per cent. Along with the place value system, we use loading – strip models to convert between percents, fractions, and decimals.