4.02 Conversions
State whether the following are the same as 80\%:
\dfrac{80}{10}
\dfrac{4}{5}
0.8
\dfrac{80}{100}\%
Express the following percentages as fractions with denominators of 100:
Express the following fractions as percentages:
Express the following percentages as simplified fractions:
Express the following fractions as percentages, rounding your answer to two decimal places when necessary:
\dfrac{13}{50}
\dfrac{11}{20}
\dfrac{48}{73}
\dfrac{39}{60}
Convert the following percentages to decimals:
270\%
Convert the following decimals to percentages:
Express the following as percentages:
8
4
2.5
1.89
10
5.09
3.125
Which is greater: 0.26 or 35\%?
Write either <, > or = between the pair of numbers to make the following statements true:
\dfrac{1}{3} ⬚ 27\%
16\% ⬚ \dfrac{4}{25}
\dfrac{1}{8} ⬚ 13\%
Express the following mixed numbers as percentages:
1\dfrac{4}{5}
3\dfrac{7}{10}
5\dfrac{1}{4}
2\dfrac{7}{20}
State whether the following values are the same as 62\dfrac{1}{2}\%:
0.63
\dfrac{63}{100}
0.625
\dfrac{5}{8}
Express the following percentages as fractions in simplest form. Write your answer as mixed number if necessary.
275\%
107\%
145\%
320\%
238\%
9\dfrac{3}{10}\%
27\dfrac{7}{9}\%
34.24\%
Convert the following to mixed number percentages:
Express 33\dfrac{1}{3}\% as a simplified fraction.
Convert between percentages, fractions and decimals to complete the following tables:
| Fraction | Decimal | Percentage |
|---|---|---|
| \dfrac{11}{100} | ||
| 1.83 | ||
| \dfrac{5}{8} |
| Fraction | Decimal | Percentage |
|---|---|---|
| \dfrac{1}{2} | ||
| 0.75 | ||
| 30\% |
| Fraction | Decimal | Percentage |
|---|---|---|
| \dfrac{3}{5} | ||
| 0.32 | ||
| 72\% |
| Fraction | Decimal | Percentage |
|---|---|---|
| 1\dfrac{2}{5} | ||
| 3.56 | ||
| 112\dfrac{1}{2}\% |
For the following groups of numbers:
Rewrite the group as percentages
Hence write the numbers in ascending order.
A bushfire moves through an area of land. If 25\% of the land is burned by the bushfire, what proportion of the land, as a decimal, is not burned?
Irene spends 27\% of her pocket money each week.
Express how much of her pocket money she spends as a decimal.
Express how much of her pocket money she saves as a decimal.
Patricia and Nadia are among the candidates for a school leadership position. Patricia receives 0.3 votes for every vote cast and Nadia receives 0.6 votes for every vote cast.
What was the combined percentage of votes for Patricia and Nadia?
What percentage of votes did not go to Patricia?