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Fraction Basics Review
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Fraction Basics Review
Lachlan, Evie and Jarrah are checking supplies and readings at a volcano observatory. Solve each fraction challenge. Simplify answers where possible, and show your working for calculations.
Fraction sense
Classify fractions, interpret their parts and compare their values.
1.A supply label shows 7/9 of a water tank is full. Which statement best describes 7/9?
- It is a proper fraction because 7 is less than 9.
- It is an improper fraction because 7 is less than 9.
- It is a mixed number because it is less than 1.
2.The team has logged 13/5 hours of monitoring. Write this improper fraction as a mixed number in simplest form.
3.Convert 3 4/7, the number of kilometres on a sensor route, to an improper fraction.
4.Evie records 5/8 of a reading, and Lachlan records 3/4. Use the number line to decide which value is greater.
Work with fractions
Use equivalent fractions and operations to solve the observatory team's data problems.
5.Jarrah measures 2/9 of a sample container and then adds another 4/9. What fraction is measured altogether? Give the answer in simplest form.
6.The battery indicator drops from 7/8 charge to 3/8 charge. What fraction of the charge was used?
7.A sensor cable is 2 1/3 metres long. Another cable is 1 5/6 metres long. How much cable is there altogether? Show how you find a common denominator.
8.For a calibration test, one reading is 3/5 of a unit and another is 2/3 of a unit. Which reading is larger, and by how much?
9.True or false? 4/6 and 2/3 name the same amount. Explain your answer by simplifying 4/6.
10.An observatory checklist is 3/4 complete. Write 3/4 as a percentage and state what percentage remains.
11.The team needs at least 5/6 of a tank of water for the next shift. The gauge shows 7/9 full. Is there enough? Support your answer by comparing the fractions.
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