2.04 Fractions of a quantity
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 liters.
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?