Problems on Division of Fractional Numbers
Problems on division of fractional numbers will give idea how to solve different types of word problems.
1. In a school 2/7 of the students are boys. If there are 280 girls, find the number of boys.
Solution:
Suppose the number of students = 1
Number of boys = 1 × 2/7 = 2/7
Number of girls = 1 - 2/7 = 5/7
5/7 of the students = 280
Therefore, total number of students = 280 ÷ 5/7
= 280 × 7/5
= 392 students
Number of boys = 392 - 280 = 112 boys
2. Ron has 5 ¼ m
long ribbon. She cuts it into three
equal pieces. What is the length of each piece of ribbon?
Solution:
Length of the ribbon = 5 ¼ m
Number of equal pieces cut out = 3
Length of each piece of ribbon = 5 ¼ ÷ 3
= 21/4 ÷ 3
= 21/4 × 1/3
= 21 × 1/4 × 3
= 7/4 metre
= 1 ¾ metre
Therefore, length of each piece of ribbon is 1 ¾ metre.
3. The cost of 4 ½ m cloth is $ 60 ¾. Find the cost of 1 m cloth.
Solution:
Cost of 4 ½ m cloth = $ 60 ¾
Cost of 1 m cloth = $ (60 ¾ ÷ 4 ½)
= $ (243/4 × 2/9)
= $ 27/2
= $ 13 ½
4. Sam paid $ 45 for 3 ¾ kg of sugar. How much did he pay for 1 kg of sugar?
Solution:
Cost of 3 ¾ kg of sugar = $ 45
Cost of 1 kg of sugar = 45 ÷ 3 ¾
= 45 ÷ 15/4
= 45/1 × 4/15
= $ 12
Therefore, cost of 1 kg of sugar is $ 12.
● Multiplication is Repeated Addition.
Multiplication of a Whole Number by a Fraction
Multiplication of Fractional Number by a Whole Number.
Multiplication of a Fraction by Fraction.
Properties of Multiplication of Fractional Numbers.
Problems on Multiplication of Fractional Numbers
Worksheet on Multiplication on Fraction.
Division of a Fraction by a Whole Number.
Division of a Fractional Number.
Division of a Whole Number by a Fraction.
Properties of Fractional Division.
Problems on Division of Fractional Numbers
Worksheet on Division of Fractions.
Worksheet on Simplification of Fractions.
Worksheet on Word Problems on Fractions.
5th Grade Numbers Page
5th Grade Math Problems
From Problems on Division of Fractional Numbers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Subtraction of Decimals | Subtracting Decimals | Decimal Subtraction
Apr 24, 25 03:25 PM
We will discuss here about the subtraction of decimals. Decimals are subtracted in the same way as we subtract ordinary numbers. We arrange the digits in columns -
How to Do Long Division? | Method | Steps | Examples | Worksheets |Ans
Apr 24, 25 10:18 AM
As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend… -
Division by Two-Digit Numbers | Knowledge of Estimation | Division
Apr 24, 25 10:12 AM
In division by two-digit numbers we will practice dividing two, three, four and five digits by two-digit numbers. Consider the following examples on division by two-digit numbers: Let us use our knowl… -
Addition of Decimals | How to Add Decimals? | Adding Decimals|Addition
Apr 24, 25 01:45 AM
We will discuss here about the addition of decimals. Decimals are added in the same way as we add ordinary numbers. We arrange the digits in columns and then add as required. Let us consider some -
Addition of Like Fractions | Examples | Videos | Worksheet | Fractions
Apr 23, 25 09:23 AM
To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.