We will discuss here how to solve the word problems on division of mixed fractions or division of mixed numbers.
Let us consider some of the examples.
1. The product of two numbers is 18. If one number is 8 2/5, find the other number.
Solution:
Product of two numbers = 18
One number = 8 2/5 = {(8 × 5) + 2}/5 = 42/5
The other number = 18 ÷ 42/5 = 18 × 5/42, (Because 18 ÷ 42/5 = 18/1 ÷ 42/5 = 18/1 × 5/42)
= 90/42
= 15/7
= 2 1/7
2. Ashish cut a 25 m long
rope into pieces of 1 2/3 metres each. Find the total number of pieces he cut.
Solution:
Total number of pieces he cut = 25 ÷ 1 2/3
= 25 ÷ 5/3, (Because 25 ÷ 5/3 = 25/1 ÷ 5/3 = 25/1 × 3/5
= 25 × 3/5
= 75/5
= 15
So, Ashish cut 15 pieces.
3. A pole whose length is 10\(\frac{2}{3}\) metres is cut into 16 equal pieces.
Solution:
What is the length of each piece?
Length of the pole = 10\(\frac{2}{3}\) m
Number of pieces = 16
Length of each pieces = 10\(\frac{2}{3}\) m ÷ 16
= \(\frac{32}{3}\) ÷ \(\frac{16}{1}\)
= \(\frac{32}{3}\) × \(\frac{1}{16}\)
= \(\frac{32}{3 × 16}\)
= \(\frac{\not 2 × \not 2 × \not 2 × \not 2 × 2}{3 × \not 2 × \not 2 × \not 2 × \not 2}\)
= \(\frac{2}{3}\) m
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● Conversion of Fractions into Fractions having Same Denominator
● Conversion of a Fraction into its Smallest and Simplest Form
● Addition of Fractions having the Same Denominator
● Subtraction of Fractions having the Same Denominator
● Addition and Subtraction of Fractions on the Fraction Number Line
4th Grade Math Activities
From Word Problems on Division of Mixed Fractions 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.
Sep 18, 24 03:29 PM
Sep 18, 24 02:47 PM
Sep 17, 24 01:47 AM
Sep 17, 24 12:10 AM
Sep 16, 24 11:24 PM
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.