MULTIPLYING FRACTIONS BY WHOLE NUMBERS
Multiplying Fractions by Whole Numbers :
In this section, you will learn, how to multiply a fraction by a whole number.
To multiply a proper or improper fraction by a whole number, first, we have to multiply the whole number with by numerator of the fraction, keeping the denominator same.
For example,
2 ⋅ 3/5 = (2 ⋅ 3) /5 = 6/5
3 ⋅ 7/11 = (3 ⋅ 7) / 11 = 21/11
To multiply a mixed fraction by a whole number, first convert the mixed fraction to an improper fraction and proceed as explained above.
For example,
4 ⋅ 3 4/7 = 4 ⋅ 25/7
4 ⋅ 3 4/7 = (4 ⋅ 25) / 7
4 ⋅ 3 4/7 = 100/7
4 ⋅ 3 4/7 = 14 2/7
Multiplying Fractions by Whole Numbers - Practice Problems
Problem 1 :
Find the value of :
4 ⋅ 1/7
Solution :
4 ⋅ 1/7 = (4 ⋅ 1) / 7
4 ⋅ 1/7 = 4/7
Problem 2 :
Find the value of :
1/4 of 2 1/5
Solution :
1/4 of 2 1/5 = 1/4 ⋅ 2 1/5
1/4 of 2 1/5 = 1/4 ⋅ 11/5
1/4 of 2 1/5 = (1 ⋅ 11) / (4 ⋅ 5)
1/4 of 2 1/5 = 11/20
Example 3 :
In a group of 60 students 3/10 of the students like to study Science, 3/5 of the students to study Math.
(i) How many students like to study Science ?
(ii) How many students like to study Math ?
Solution :
(i) Out of 60 students, 3/10 of the students like to study Math.
Then, the number of students who like to study Science is
= 3/10 of 60
= 3/10 ⋅ 60
= (3 ⋅ 60) / 10
= (3 ⋅ 6) / 1
= 18 / 1
= 18
(ii) Out of 60 students, 3/5 of the students like to study Math.
Thus, the number of students who like to study Math is
= 3/5 of 60
= 3/5 ⋅ 60
= (3 ⋅ 60) / 5
= (3 ⋅ 12) / 1
= 36/1
= 36
Example 4 :
A car runs 20 miles using 1 liter of petrol. How much distance will it cover using 2 3/4 liters of petrol ?
Solution :
Distance covered in 1 liter of petrol is 20 miles.
Then, the distance covered using 2 3/4 liters of petrol is
= 2 3/4 ⋅ 20 miles
= 11/4 ⋅ 20 miles
= (11 ⋅ 20) / 4 miles
= (11 ⋅ 5) / 1 miles
= 55/1 miles
= 55 miles
So, the car can cover 55 miles of distance using 2 3/4 liters of petrol.
After having gone through the stuff given above, we hope that the students would have understood, how to multiply a fraction by a whole number.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the 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
-
How to Find the Product of Three Binomials
Oct 22, 21 01:12 AM
How to Find the Product of Three Binomials
-
Recurring Decimals to Fractions Worksheet
Oct 21, 21 10:04 PM
Recurring Decimals to Fractions Worksheet
-
Recurring Decimals to Fractions
Oct 21, 21 09:59 PM
Recurring Decimals to Fractions
