COMPLEX FRACTIONS WORD PROBLEMS
Problem 1 :
Maya wants to divide a 3/4 pound box of trail mix into small bags. Each bag will hold 1/12 pound of trail mix. How many bags of trail mix can Maya fill ?
Solution :
Amount of trail mix each bag holds = 1/12 pound
Given : Each bag will hold 1/12 pound of trail mix.
Then, the number bags required for 3/4 pounds of trail mix is
= (3/4) / (1/12)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 3/4 ⋅ 12/1
Simplify.
= (3 ⋅ 12) / (4 ⋅ 1)
= (3 ⋅ 3) / (1 ⋅ 1)
= 9 / 1
= 9
So, Maya can fill 3/4 pound of trail mix in 9 bags.
Problem 2 :
Cooper's bird feeder holds 9/10 of a cup of birdseed. Cooper is filling the bird feeder with a scoop that holds 3/10 of a cup. How many scoops of birdseed will Cooper put into the feeder?
Solution :
Amount of seeds bird feeder holds = 9/10 of a cup
Given : Cooper is filling the bird feeder with a scoop that holds 3/10 of a cup.
Then, the number of scoops of birdseed will Cooper put into the feeder is
= (9/10) / (3/10)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 9/10 ⋅ 10/3
Simplify.
= (9 ⋅ 10) / (10 ⋅ 3)
= (3 ⋅ 1) / (1 ⋅ 1)
= 3 / 1
= 3
So, Cooper will put 3 scoops of birdseed into the feeder.
Problem 3 :
A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory used 1/2 of a bag of flour yesterday. How many batches of cookies did the factory make?
Solution :
Flour used in each batch of cookies = 1/6 of a bag
Given : The factory used 1/2 of a bag of flour yesterday.
Then, the number of batches of cookies the factory made yesterday :
= (1/2) / (1/6)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 1/2 ⋅ 6/1
Simplify.
= (1 ⋅ 6) / (2 ⋅ 1)
= (1 ⋅ 3) / (1 ⋅ 1)
= 3 / 1
= 3
So, 3 batches of cookies the factory made yesterday.
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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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