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 hours to 40 hours
3 hours and 30 minutes to 5 hours
\$1.90 \text{ to } \$8.40
6\dfrac{1}{4} \text{ to } 9\dfrac{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\dfrac {2}{5}:6
1\dfrac {5}{7}: 1\dfrac {9}{11}
Simplify the following ratios:
6 seconds to 18 seconds
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.
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:
For each of the following ratios:
Write the ratio as a simplified ratio.
Write the ratio as a percentage. Round to the nearest percent if necessary.
12 pears to 36 pears.
65 newtons to 100 newtons.
3 centuries to 1000 years.
15 eggs to 3 dozen eggs.
18 weeks to 1 year (Assume 1 year has 52 weeks).
Amelia and Harry scored goals in their netball game in the ratio 4:3.
What fraction of the total number of goals were scored by Amelia?
What fraction of the total number of goals were scored by Harry?
What percentage of the total number of goals were scored by Amelia? Round your answer to the nearest percent.
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 milk to wheat as a fraction in simplest form.
Find the ratio of sugar to fat as a whole percentage.
Find the ratio of milk to wheat as a whole percentage.
Number of grams in one pack of biscuits:
| \text{Fat} | \text{15 grams} |
| \text{Sugar} | \text{12 grams} |
| \text{Milk} | \text{18 grams} |
| \text{Wheat} | \text{16 grams} |
The table shows the amount of several ingredients in a pack of 300-gram biscuits:
Write the ratio of milk to sugar as a fraction in simplest form.
Write the ratio of salt to wheat as a fraction in simplest form.
Find the ratio of milk to sugar as a percentage. Round your answer to the nearest percent.
Find the ratio of salt to wheat as a percentage. Round your answer to the nearest percent.
Number of grams in one pack of biscuits:
| \text{Sugar} | \text{14 grams} |
| \text{Milk} | \text{18 grams} |
| \text{Wheat} | \text{15 grams} |
| \text{Salt} | \text{12 grams} |
A bottle contains 18 \text{ mL} of chlorine and 30 \text{ mL} of fluoride.
Write the ratio of chlorine to fluoride as a fraction in simplest form.
Write the ratio of fluoride to chlorine as a fraction in simplest form.
Find the ratio of chlorine to fluoride as a percentage. Round your answer to the nearest percent.
Find the ratio of fluoride to chlorine as a percentage. Round your answer to the nearest percent.
The Darwin Dingos had 29 wins and 11 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.
Find the ratio of wins to losses as a percentage. Round your answer to the nearest percent.
Find the ratio of losses to wins as a percentage. Round your answer to the nearest percent.
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?