WORD PROBLEMS INVOLVING OPERATIONS WITH FRACTIONS
Problem 1 :
Mary poured 5/8 liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass?
(A) 1/8 liter (B) 1/5 liter (C) 1/6 liter
Solution :
Original quantity of apple juice = 5/8 liter
Number of glasses to be divide = 5
Quantity of apple juice in each glass = (5/8) ÷ 5
Here we can consider 5 as 5/1
= (5/8) ÷ (5/1)
= (5/8) ⋅ (1/5)
= 1/8
So 1/8 liter apple juice will get each glass.
Problem 2 :
John cuts lead strips to make stained-glass windows. He has a 3 ¾ foot strip of lead and
cuts into 5 equal pieces. How long is each piece of lead?
(A) 1/6 feet (B) 3/4 feet (C) 2/3 feet
Solution :
Original length of the lead strip = 3 ¾ foot
Length of each lead strip = 3 ¾ foot ÷ 5
= 15/4 ÷ 5
= (15/4) ⋅ (1/5)
= 3/4
The required length of each piece of lead is ¾ feet.
Problem 3 :
Mrs.Mathew divided ¾ kg of grapes equally among 6 children. How many kilograms of grapes did each child get?
(A) 1/8 kg (B) 3/11 kg (C) 2/3 kg
Solution :
Quantity of grapes that Mrs.Mathew had = 3/4 kg
Number of children is be divided = 6
Quantity of grapes that each children will get
= (original quantity of grapes)/(Number of children)
= (3/4) ÷ 6
= (3/4) ⋅ (1/6)
= 1/8 kg
That is each child will get 1/8 kg of grapes.
Problem 4 :
The perimeter of square piece of paper is 3/4 m. What is the length of its side?
(A) 1/15 m (B) 3/16 m (C) 2/3 m
Solution :
Perimeter of square piece = 3/4 m
Perimeter of any square = 4a
4a = 3/4 m
The length of four sides = 3/4 m
length of one side = (3/4) ÷ 4
= (3/4) ⋅ (1/4)
The length of each side of a square is 3/16 m.
Problem 5 :
The product of two fractions is 30 1/3. One of them is 5 2/3. Find the other?
(A) 91/17 (B) 15/19 (C) 25/97
Solution :
Let x be the required fraction.
One of the fraction = 5 2/3 = 17/3
Product of two fractions = 30 1/3 = 91/3
(17/3) ⋅ x = 91/3
x = 91/3 ÷ (17/3)
x = (91/3) ⋅ (3/17)
x = 91/17
So, the required fraction is 91/17.
Problem 6 :
How many pieces of wood each 1/5 m long can be cut from a piece 3 m long ?
(A) 18 pieces (B) 11 pieces (C) 15 pieces
Solution :
Length of the given wood = 3 m
Length of each piece = (1/5) m
Length of each pieces which has been cut
= Length of wood/(measurement of wood piece)
= 3 / (1/5)
= 15
That is, 3 m wood can be cut into 15 equal parts.
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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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