Monday, April 15, 2013

Word Problems with Simple Fractions

Introduction to word problems using Simple fractions:

In a simple fractions word problems we have the data’s in words for that we have to read the given problems very carefully . In this section we are going to see word problems using simple fractions. Generally the fraction is a ratio of two numbers and fraction is defined as part of a group or a region. In fraction are classified into following types

Proper fractions
Improper fractions
Mixed fractions.


Types of Simple Fraction in Word Problems:


Proper fraction:
Proper fraction said to be the denominator shows the number of parts into which the whole divided and numerator shows the number of parts we taken out.
Example ` 9/10,1/2`

Improper Fractions:
Improper fractions defined as numerator is bigger than denominator are called improper fractions.
Example     `5/3,7/2`

Mixed Fractions:
A mixed fraction is defined as the combination of a whole and a part.
Example    `2 3/5, 7 2/9,`

Understanding quadratic formula to solve equation is always challenging for me but thanks to all math help websites to help me out.

Word Problems using simple Fractions:


Example 1:
Tom has   `1/4`   breads in his plate and Leo has   `2/4`   breads in his plate. Who has more breads in his plate and how many  breads  both have?

Solution:
Tom has  `1/4` breads and Leo has `2/4`

Total breads both haves = ` 1/4+ 2/4`

= `3/4` Breads

Example 2:
Tony  had `5/6` of a cake. he gave `2/6` out of that to his brother Jerry. How much cake is left with him?

Solution:
Tony had `5/6` of cake from that `2/6` of cake he gave to his brother Jerry

We find that  `5/6-2/6` =`(5-2)/6` =`3/6` = `1/3`

Example 3:
Carol bought  ` 2/5`   meter of ribbon and Jenny bought   `1/5 `   meter of ribbon. What is the total length of the ribbon they bought?

Solution:
Carol bought  `2/5`   and jenny bought `1/5` of ribbon
Total length they bought = `2/5+1/5`

= `3/5`
Example 4:
Kate was given 1 ` 1/3`   piece of cake and Amy was given 4 `1/3 ` piece of cake. Find the total amount of cake was given to both of them.

Solution:
Kate  got  1 `1/3`   and Amy got 4 `1/3` piece of cake
Total amount = `1 1/3 + 4 1/3`

= `4/3+13/3`

= `17/3`

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