Simplify the following fractions:
Simplify the following fractions, writing your answers as mixed numbers:
Evaluate the following, writing your answers in simplest form:
\dfrac {5}{9} + \dfrac {8}{9}
\dfrac {11}{9} \times \dfrac {2}{99}
- \dfrac {3}{7} \times \dfrac {2}{3}
\left(\dfrac {4}{9}\right)^{2}
\dfrac {3}{8} \div \dfrac {3}{4}
\dfrac {11}{35} \div \dfrac {55}{49}
\left( - \dfrac {4}{5} \right) \div \dfrac {3}{4}
\dfrac{3}{5} \times \dfrac{2}{3} + \dfrac{5}{15}
\left(\dfrac{2}{3} + \dfrac {3}{5}\right) \times \dfrac{3}{7}
Evaluate:
46.01 + 0.09
7.411 + 6.247
8.79 - 6.33
0.5 \times 1000
0.471 \times 5
2.2 \times 4
4.23 \times 2
4.8 \times 8
56 \div 0.7
1.2 \div 0.3
420 \div 0.7
8.1 \div 0.9
Evaluate:
12.89 + 34.11
36.97 - 21.62
1.2 \times 3.2
2.68 \times 2.31
\dfrac{0.005\,34}{0.006}
\dfrac{0.247}{0.019}
9.2768 \div 2.08
393.68 \div 7
36.53 \times 63 \div 9
6.42 - 8.2 \times 0.7 + 4.67
Evaluate 2.270\,46 \div 0.474. Round your answer to two decimal places.
For the following expressions:
Estimate the answer by rounding both values to the nearest whole number.
Find the answer using a calculator.
Hence, find the difference between the estimate and the actual answer.
Suggest a way to improve the accuracy of your estimate.
6.61 + 2.85
9.66 - 7.88
11.59 \div 4.44
For each of the following expressions:
Estimate the answer by rounding both values to the nearest whole number.
Find the answer using a calculator. Round your answer to two decimal places.
1.29 \times 3.42
26.99 \div 8.98
A class has 40 students. \dfrac{2}{5} of the class are boys.
What fraction of the class is girls?
How many girls are in the class?
Ellie wants to install a rectangular swimming pool in her backyard.
If the space available for a pool in her backyard measures 10\dfrac{1}{4}\text{ m} by 4\text{ m}, what will be the total area of the pool?
Sally is a sales assistant. She earns \$192 per week, plus a commission of \dfrac{1}{3} on anything she sells. Last week, she sold \$726 of printers.
What was Sally's commission for last week?
What was Sally's pay for last week?
In a survey of 270 people, \dfrac{1}{10} said their favourite sport was soccer, and \dfrac{1}{9} said their favourite sport was tennis.
What is the total fraction of people who said their favourite sport was soccer or tennis?
What is the fraction of people who did not put soccer or tennis as their favourite sport?
How many people did not put soccer or tennis as their favourite sport?
At the end of last month, a dam was \dfrac{5}{7} full. Over the current month, \dfrac{52}{63} of the dam's capacity was used up by the town. Meanwhile, rain filled \dfrac{5}{9} of the dam's capacity over the duration of the month,. What fraction of the dam is full at end of this month?
After an earthquake, \dfrac{3}{7} of all claims were paid within a month. Of the remaining claims that had not yet been paid, \dfrac{5}{7} of them were paid within the second month. What fraction of all claims were paid in the second month?
During a sale, a number of computers were sold. 6 computers were sold at a loss, which represents \dfrac{1}{6} of the total number of computers that were sold.
If 89 computers were up for sale, how many weren't sold?
A bottle is \dfrac{2}{7} full of cordial. If 230\text{ ml} of cordial is added to it, the bottle is \dfrac{5}{6} full. How much cordial does the bottle hold when full?
At the Easter Show, Tobias spends half an hour visiting chickens and \dfrac{1}{3} of an hour visiting alpacas. What fraction of an hour has he spent visiting animals?
A bag of oranges weighing \dfrac{8}{9} \text{ kg} was divided among 6 children. What was the mass of the oranges given to each child?
Katrina and Luigi ordered a pizza to share. Katrina ate \dfrac{3}{7} of the pizza while Luigi ate \dfrac{1}{2}.
Who ate more pizza?
What fraction of the pizza did they eat together?
What fraction of pizza is left?
Luke has a dice tin that is \dfrac{1}{4} full. He puts 8 extra dice in and the tin is now \dfrac{1}{3} full.
What fraction of the tin do the 8 extra dice take up?
How many dice can fit inside the tin?
Victoria borrows a 360-page novel from the library. She reads \dfrac{3}{4} of the novel.
How many pages did she read?
How many more pages does she have to read to finish her novel?
In the morning, a dam contains 635\text{ L} of water. Throughout the day, \dfrac{1}{5} of the water is lost through evaporation and cattle drinking from it.
How many litres of water are lost throughout the day?
How many litres of water are left in the dam at the end of the day?
Maria is a sales assistant. She earns \$293 per week, plus a commission of \dfrac{2}{9} on anything she sells. Last week she sold \$1377 of sofas.
Find Maria's commission for last week.
Find Maria's pay for last week.
A calculator is 8.9\text{ cm} long. How far will 130 calculators reach if laid end to end? Give your answer in metres.
How many pieces of steel, each 4.25\text{ m} long, can be cut from a wire 153\text{ m} long?
A piece of cord 2.87\text{ m} long is cut evenly into smaller pieces of 0.07\text{ m} each. How many of these pieces can be cut?
Dave used a calculator to evaluate 6.573 \times 8.03 but forgot to enter the decimal points. The answer he got was 5\,278\,119. What should the answer have been?
Maria runs 50.2 \text{ m} in 15 seconds. If she continues running at the same speed, how far can she run in 2 minutes?
Sebastian owes \$47.59 to each of his 3 friends. How much money does he owe altogether?
Three items weighing 3.41\text{ kg}, 2.58\text{ kg} and 5.79\text{ kg} are to be posted but are too heavy to send. By how much does the total weight exceed the 11.38\text{ kg} limit?
At 10 pm, the temperature in Victoria is 16.7\degree \text{C}. Each hour the temperature decreases by 1.87\degree\text{C}. What is the temperature 5 hours later?
Christa is creating a 3-minute slide show with pictures from her holiday. Each picture will be displayed for 4.5 seconds.
How many seconds are in 3 minutes?
How many pictures can she show in 3 minutes?
Brad is currently \$18 overdrawn in his account. He knows that he needs to pay a \$61.61 bill from this account tomorrow. How much does he need to add to this account so he can pay his bill tomorrow?
A diver is 3.5 metres below the surface of the water. He descends 1.47 metres each second for 3 seconds, then rises 0.46 metres/second for 6 seconds. The level at the surface is 0 metres, and 1 metre below is represented by - 1 metres.
Find the depth of the diver after 9 seconds.
The diver sees a turtle near the surface and needs to get to a depth of 0.35 metres below the surface within 4 seconds to snap the perfect shot. How many metres does he need to rise each second, assuming he will rise at a constant speed?
Mae earns \$36.43 per hour working as a call center operator. If she works 20.5 hours per week, find her weekly wage.