Math Drills
Ratio Values and Simplifying Ratios
C-2Word 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)Yesterday I read 15 pages of a book, and today I read 20 pages. Find the value of the ratio of the ratio of page counts of yesterday to today. Answer □
Answer: 0.75
(2)Balls were divided into groups of 35 and 14. Find the value of the ratio of the ratio of numbers of the larger group to the smaller group. Answer □
Answer: 2.5
(3)The Japanese book has 120 pages and the math book has 180 pages. Express the ratio of the number of pages of the Japanese and math books in its simplest form. Answer □
Answer: 2:3
(4)There are 18 red flowers and 27 white flowers in bloom. Express the ratio of the number of red flowers to white flowers in its simplest form. Answer □
Answer: 2:3
(5)There is 3/4m of red ribbon and 1/2m of blue ribbon. Express the ratio of the lengths of the red and blue ribbons in the simplest whole-number form. Answer □
Answer: 3:2
(6)There is 2/3kg of sugar and 1/2kg of salt. Express the ratio of the weights of sugar to salt in the simplest whole-number form. Answer □
Answer: 4:3
What to do next
More worksheets in this unit
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