Math Drills
Ratio Values and Simplifying Ratios
C-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Ratio and Its Uses / Ratio Values and Simplifying Ratios
The relation between two quantities is caught in the form of a ratio. Three kinds, dividing the front figure by the back one to give the value of the ratio, dividing both by the greatest common divisor to reach the simplest ratio, and turning a ratio holding decimals or fractions into a whole-number ratio, are traced first as calculation and then a second time in word-problem form.
Finding the value of the ratio, papers line up that divided the back figure by the front one and inverted the value. Where the front figure is the larger, the value of the ratio must come out above 1. Which side of 1 the written figure falls on brings a wrong direction of division into the open.
What gets arranged here goes only as far as reducing a pair of figures to a simple form. In Equal Ratios and Their Uses that pair is kept matched and carried into scenes that find actual amounts.
- Ratio Value (Word Problems)2 questions
- Finding and Simplifying Ratios (Word Problems)2 questions
- Converting Decimal and Fraction Ratios to Whole-Number Ratios (Word Problems)2 questions
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Problems and answers on this worksheet
These are the problems in “Ratio and Its Uses”, shown with their answers.
(1)A tape was cut into pieces of 18cm and 45cm. Find the value of the ratio of the ratio of lengths of the shorter one to the longer one. Answer □
Answer: 0.4
(2)The speed of the car is 90 km/h and that of the bicycle is 12 km/h. Find the value of the ratio of the ratio of speeds of car to bicycle. Answer □
Answer: 7.5
(3)In the 6th grade there are 22 boys and 26 girls. Express the ratio of the number of boys to girls in its simplest form. Answer □
Answer: 11:13
(4)There are 6 pencils and 16 crayons. Express the ratio of the number of pencils to crayons in its simplest form. Answer □
Answer: 3:8
(5)There is 0.4L of water and 0.6L of tea. Express the ratio of the amounts of water to tea in the simplest whole-number form. Answer □
Answer: 2:3
(6)There is 0.9L of salad oil and 0.6L of vinegar. Express the ratio of the amounts of salad oil to vinegar in the simplest whole-number form. Answer □
Answer: 3:2
What to do next
More worksheets in this unit
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3Equal Ratios and Their Uses Calculation (Dividing in a Ratio)
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3Equal Ratios and Their Uses Word Problems
5Ratio and Its Uses Review Calculation
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