MULTIPLY AND DIVIDE RATIONAL NUMBERS WORD PROBLEMS
Problem 1 :
The product of two rational numbers is 2/9. If one of the number is 1/2, find the other rational number.
Solution :
Product of two rational numbers = 2/9
One rational number = 1/2
Given number x required number = 2/9
(1/2) x required number = 2/9
required number/2 = 2/9
Multiplying by 2 on both sides
2 x (required number/2) = (2/9) x 2
required number = 4/9
Problem 2 :
The product of two rational numbers is 6. If one of the number is 14/3, find the other number.
Solution :
Product of two rational numbers = 6
One rational number = 14/3
Given number x required number = 6
(14/3) x required number = 6
(14 x required number)/3 = 6
Multiply by 3 on both sides
[(14 x required number)/3] x 3 = 6 x 3
14 required number = 18
Divide by 14 on both sides
14 required number /14 = 18/14
required number = 9/7
Problem 3 :
What number should be multiply 7/2 to get 21/4 ?
Solution :
Required number x (7/2) = 21/4
(7 x required number) /2 = 21/4
Multiply 2 on both sides
7 x required number = (21/4) x 2
= 21/2
Divide by 7 on both sides
required number = (21/2) x (1/7)
required number = 3/2
Problem 4 :
John reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2 1/5 hours?
Solution :
The part of the book read by John in 1 hour = 1/3
So, the part of the book read by him in 2 1/5 hours
= 2 1/5 x (1/3)
= (11/5) x (1/3)
= 11/15
Problem 5 :
Suzy plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling.
Solution :
Number of saplings in a garden = 4
The distance between two adjacent saplings = 3/4 m
The distance between the first and the last sapling
= 4 x (3/4) m
= 3 m
Problem 6 :
Lipika reads a book for 1 3/4 hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Solution :
Time taken by Lipika for reading a book in one day
= 1 3/4
Converting the mixed fraction into improper fraction, we get 7/4
Number of days taken by Lipika to read the entire book
= 6
Total number of hours taken by her to complete the entire book = 6 x (7/4) = 21/4
= 10 1/2 hours.
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WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
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