DIVIDING FRACTIONS WORKSHEETS
Dividing Fractions Worksheet - Problems
Dividing Fractions Worksheet :
Worksheet given in this section will be much useful for the students who would like to practice problems on dividing a fraction by another fraction.
Before look at the worksheet, if you would like to learn, how to divide a fraction by another fraction,
Problem 1 :
Simplify :
2/5 ÷ 6/7
Problem 2 :
Simplify :
7/5 ÷ 3/2
Problem 3 :
Simplify :
5/12 ÷ 20/13
Problem 4 :
Simplify :
2/19 ÷ 6 1/2
Problem 5 :
David can make one pizza in 1/2 hour. How many pizzas can he make in 5/2 hours ?
Dividing Fractions Worksheet - Solutions
Problem 1 :
Simplify :
2/5 ÷ 6/7
Solution :
In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.
2/5 ÷ 6/7 = 2/5 ⋅ 7/6
Simplify.
2/5 ÷ 6/7 = (2 ⋅ 7) / (5 ⋅ 6)
2/5 ÷ 6/7 = (1 ⋅ 7) / (5 ⋅ 3)
2/5 ÷ 6/7 = 7/15
Problem 2 :
Simplify :
7/5 ÷ 3/2
Solution :
In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.
7/5 ÷ 3/2 = 7/5 ⋅ 2/3
Simplify.
7/5 ÷ 3/2 = (7 ⋅ 2) / (5 ⋅ 3)
7/5 ÷ 3/2 = (7 ⋅ 2) / (5 ⋅ 3)
7/5 ÷ 3/2 = 14/15
Problem 3 :
Simplify :
5/12 ÷ 20/13
Solution :
In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.
5/12 ÷ 20/13 = 5/12 ⋅ 13/20
Simplify.
5/12 ÷ 20/13 = (5 ⋅ 13) / (12 ⋅ 20)
5/12 ÷ 20/13 = (1 ⋅ 13) / (12 ⋅ 4)
5/12 ÷ 20/13 = 13/48
Problem 4 :
Simplify :
2/19 ÷ 6 1/2
Solution :
2/19 ÷ 6 1/2 = 2/19 ÷ 13/2
In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.
2/19 ÷ 6 1/2 = 2/19 ⋅ 2/13
Simplify.
2/19 ÷ 6 1/2 = (2 ⋅ 2) / (19 ⋅ 13)
2/19 ÷ 6 1/2 = 4/247
Problem 5 :
David can make one pizza in 1/2 hour. How many pizzas can he make in 5/2 hours ?
Solution :
Time taken to make one pizza is 1/2 hour.
No. of pizzas made in 5/2 hours is
= 5/2 ÷ 1/2
In the division of above two fractions, change the division as multiplication and take reciprocal of the second fraction.
= 5/2 ⋅ 2/1
= (5 ⋅ 2) / (2 ⋅ 1)
= 10/2
= 5
So, David can make 5 pizzas in 5/2 hours.
After having gone through the stuff given above, we hope that the students would have understood, how to divide a fraction by another fractions.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
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
Recent Articles
-
Construction of Perpendicular from a Point on a Line
Oct 16, 19 11:02 AM
Construction of Perpendicular from a Point on a Line
-
Construction of Perpendicular Lines
Oct 16, 19 10:54 AM
Construction of Perpendicular Lines - Concept - Step by step explanation
-
Construction of Parallel and Perpendicular Lines
Oct 16, 19 10:48 AM
Construction of Parallel and Perpendicular Lines - Concept - Examples with step by step explanation
