2.04 Fractions of a quantity
There are 11 boys and 14 girls in a class.
Find the total number of students in the class.
What fraction of the class is boys?
What fraction of the class is girls?
A box of fruit contains 8 apples, 8 mandarins, and 4 pineapples.
Find the total number of pieces of fruit inside the box.
What fraction of the box is apples?
What fraction of the box is mandarins?
What fraction of the box is pineapples?
In a factory producing light bulbs, it is found that 27 out of a batch of 300 light bulbs are faulty. What fraction of the light bulbs are faulty? Express your answer as a simplified fraction.
In a Year 7 class of 36 students, 12 are girls. What fraction of the Year 7 class is girls? Express your answer as a simplified fraction.
Amelia spends \$440 on rent each week. If her weekly income is \$1100, what fraction of her weekly income goes to rent? Express your answer as a simplified fraction.
Justin and Georgia are handing fliers to advertise for their new concert. Justin has handed out 120 of his 400 fliers while Georgia has handed out 360 of her 600 fliers.
What fraction of his fliers has Justin handed out?
What fraction of her fliers has Georgia handed out?
Who has handed out a higher fraction of their fliers?
Jane paid \$750 to get a dress made. \$450 of this was for the materials and the rest was for the labour required.
Find the fraction of the cost that paid for the materials.
Find the fraction of the cost that paid for the labour.
Evaluate:
Evaluate:
\dfrac{1}{5} of \$1 in cents
\dfrac{1}{5} of 6 minutes in seconds
\dfrac{5}{7} of 5 weeks in days
\dfrac{9}{10} of 6 \text{ L} in millilitres
\dfrac{7}{500} of 3 \text{ kg} in grams
\dfrac{6}{5} of 3 \text{ cm} in millimetres
\dfrac{2}{10} of 5 \text{ m} in centimetres
\dfrac{1}{4} of 36 \text{ g} in milligrams
\dfrac{2}{15} of 3 hours in minutes
\dfrac{3}{5} of 12 \text{ km} in metres
\dfrac{1}{6} of \$69 in cents
\dfrac{7}{8} of 1200 \text{ mL} in litres
Xavier received \$10 pocket money, and spent \dfrac{4}{10} of it on mobile phone applications. How much money did he spend?
Charlie won \$40\,000 in the lottery. He gave \dfrac{2}{5} of his winnings to his sister. How much money did Charlie give his sister?
Sinead read \dfrac{3}{5} of a 450 page book. How many pages has she read?
In a class of 27 students, \dfrac{4}{9} are boys. How many boys are in the class?
Han is a song writer. \dfrac{7}{9} of Han's songs are jazz. If Han has written 54 songs, how many of his songs are jazz?
In a survey, \dfrac{2}{11} of people said Saturday was their favourite day. If 66 people were surveyed, how many people picked Saturday?
A Year 6 class planned to raise \$400 for a local charity by Christmas. If they’ve already raised \dfrac{2}{10} of the money, how much have they raised?
The Fireflies scored 77 points in their netball game. If the goal shooter scored \dfrac{2}{11} of the points, how many points did she score?
A biased coin lands on tails \dfrac{4}{8} times. If the coin was flipped 40 times, how many times would it land on tails?
In the morning, a dam contains 1710 \text{ L} of water. Throughout the day, \dfrac{1}{9} of the water is lost through evaporation and cattle drinking from it.
How many litres of water is lost throughout the day?
At the end of the day, how many litres of water remain in the dam?