4.01 Converting between percentages, fractions, and decimals
What does the \% symbol mean when placed after a number?
Fill in the blanks to make the following statements true:
29\% is equivalent to 29 out of ⬚.
53\% is equivalent to ⬚ out of 100.
Given the grids below, answer the following:
How many squares are shaded?
What percentage of the grid is shaded?
What fraction of the grid does this percentage represent?
Write the following as fractions in their simplest form:
68\%
13\%
55\%
275\%
37\%
94\%
450\%
2.5\%
Write the following as decimals:
54\%
60\%
270\%
303\%
76\%
500\%
182\%
6897\%
For each of the following fractions:
Write an equivalent fraction with a denominator of 100.
Write it as a percentage.
Write the following as percentages:
\dfrac{83}{100}
1\dfrac{4}{5}
\dfrac{42}{100}
\dfrac{39}{60}
\dfrac{93}{150}
\dfrac{21}{35}
3\dfrac{7}{10}
2\dfrac{9}{50}
Consider the fraction \dfrac{2}{3}.
Is there an equivalent fraction that has a denominator of 100, and a whole number as its numerator?
What is the closest whole percent to \dfrac{2}{3}?
For each of the following pairs, either identify that they are the same or state which number is larger:
\dfrac{1}{8},\quad 13\%
\dfrac{4}{25},\quad 16\%
\dfrac{63}{90},\quad 70\%
\dfrac{1}{3},\quad 27\%
Write the following as a percentages:
0.24
1.1
0.857
8
1.71
24
13.04
0.041
When converting a fraction or decimal to a percentage, why is it necessary to multiply by 100\%?
When converting from percentage to a fraction or decimal, why is it necessary to divide by 100\%?
Convert between percentages, fractions and decimals to complete the table:
| Fraction | Decimal | Percentage |
|---|---|---|
| \dfrac{11}{100} | ||
| 1.83 | ||
| \dfrac{5}{8} |
Express the following as both a fraction and a decimal:
80\%
47\dfrac{1}{2}\%
For the following groups of numbers:
Rewrite the group as percentages
Hence, order the original group from smallest to largest.