Write the following ratios as fractions in simplest form:
\$179 \text{ to } \$449
5.4 \text{ to } 7.2
0.6 \text{ to } 2.4
45\text{ hours to } 40 \text{ hours}
3\text{ hours and } 30 \text{ mins to } 5 \text{ hours}
\$1.90 \text{ to } \$8.40
6\frac{1}{4} \text{ to } 9\frac{3}{8}
Write the following fractions as ratios of integers:
The ratio \dfrac{2}{3} means the same thing as the ratio \dfrac{3}{2}. Is this statement true or false? Explain your answer.
Simplify the following ratios:
48:135
Simplify the following ratios:
5.4:0.75
Simplify the following ratios:
\dfrac{2}{7}:\dfrac{5}{7}
\dfrac{4}{7}:\dfrac{8}{5}
\dfrac{1}{5}:\dfrac{9}{7}
\dfrac{20}{3}:4
\dfrac{4000}{10\,000}:\dfrac{3000}{10\,000}
5\frac {2}{5}:6
1\frac {5}{7}: 1\frac {9}{11}
Simplify the following ratios:
13 lemons to 39 lemons
6 seconds to 18 seconds
15 Newtons to 25 Newtons
4 centuries to 350 years
32 eggs to 2 dozen eggs
3 minutes to 70 seconds
28 hours to 5 days
5 years to 33 months
Simplify the following ratios:
40 minutes to 4 hours
\dfrac{18}{25} \text{ kg} to 230 \text{ g}
\dfrac{6}{7} of an hour to 2\dfrac{1}{2} hours
\$0.60 to \$2.20
3.8 \text{ kg} to 180 \text{ g}
Consider the ratio \dfrac{2}{5} to \dfrac{16}{25}.
What number should be multiplied to both sides of the ratio to cancel out the denominators?
Write the ratio \dfrac{2}{5} to \dfrac{16}{25} as a simplified ratio.
Hence, write the ratio \dfrac{2}{5} to \dfrac{16}{25} as a fraction in simplified form.
Write 13 weeks to 1 year as a fully simplified ratio. Assume 1 year has 52 weeks.
For each pair of quantities:
Rewrite the two quantities in the same units as whole numbers.
Write the pair of quantities as a simplified ratio.
50 cents to \$2.10
105 cents to \$1.20
For the following, complete the patterns of equivalent ratios by filling in the gaps.
The table shows the amount of several ingredients in a pack of 150 gram biscuits:
Write the ratio of sugar to fat as a fraction in simplest form.
Write the ratio of wheat to milk as a fraction in simplest form.
Number of grams in one pack of biscuits:
| fat | 14 grams |
| sugar | 16 grams |
| milk | 15 grams |
| wheat | 18 grams |
A bottle contains 27 millilitres of chlorine and 15 millilitres of iodine.
Write the ratio of chlorine to iodine as a fraction in simplest form.
Write the ratio of iodine to chlorine as a fraction in simplest form.
The London Lions had 11 wins and 13 losses in their season.
Write the ratio of wins to losses as a fraction in simplest form.
Write the ratio of losses to wins as a fraction in simplest form.
Xavier and Quiana scored goals in their netball game in the ratio 8:3.
Write the total number of parts in the ratio.
What fraction of the total number of goals was scored by Xavier?
What fraction of the total number of goals was scored by Quiana?
A number of building blocks are shared between Elizabeth and Tobias in the ratio 4:3.
Write the total number of parts in the ratio.
What fraction of the blocks does Elizabeth receive?
What fraction of the blocks does Tobias receive?
The following table shows the ratio of dogs to cats:
Complete the table of equivalent ratios.
If there are 270 dogs, how many cats would there be?
Simplify the ratio of the number of dogs to cats from part (b).
| Dogs | to | Cats |
|---|---|---|
| 9 | : | 5 |
| 18 | : | 10 |
| 27 | : | |
| 45 | : | |
| : | 50 |
My grandmother's recipe for fruit punch states that 5 cups of apple juice should be mixed with a \dfrac{4}{5} of a cup of lemonade.
Complete the table:
| Apple Juice | Lemonade |
|---|---|
| 5 | \dfrac{4}{5} |
| 10 | \dfrac{8}{5} |
| 15 | \dfrac{12}{5} |
| 20 | |
| 25 |
To make 3 cups of rice, Ben needs 5 cups of water. To make 15 cups of rice, he needs 25 cups of water. Write this as a proportion by filling in the blanks below:
\dfrac{3 \text{ cups rice}}{⬚ \text{ cups water}}= \dfrac{⬚ \text{ cups rice}}{⬚ \text{ cups water}}A journalist spent a total of 24 hours researching, writing and editing a news report. She spent 14 hours researching and 6 hours writing.
How many hours did she spend editing the report?
Write the ratio of time researching to writing in simplest form.
Write the ratio of time writing to editing in simplest form.
Write the ratio of time researching to editing in simplest form.
Find, in simplest form, the ratio in which her time was divided between researching, writing and editing.
Jimmy is making a patterned lid for a wooden chest. He knows that for every \dfrac{1}{2} metres of mahogony he needs 40 centimetres of oak.
Write the ratio of mahogony to oak in three different ways.
How many metres of mahogony would Jimmy need if he wants to use 6 metres of oak?