Problems involving adding fractions together (how to add 2 fractions)

catman3000 By catman3000, 13th Jul 2010 | Follow this author | RSS Feed
Posted in Wikinut>Guides>Science>Numbers And Maths

This article explains how to add (or take) 2 fractions together. Examples are drawn from real life situations.

Real Life Fraction Problems

In the examples below you will need to make equivalent fractions with common denominators so that the fraction can be added together

Question 1

Brian spends 4/7 of his weekly wage on shopping and 2/5 on bills. Work out what fraction of his weekly wage he spends on both shopping and on bills.

Answer

You need to work out 2/7 + 2/5.
Next make two equivalent fractions with common denominators.
35 is the common denominator as 7 and 5 both divide exactly into 35.
2/7 = 10/35
2/5 = 14/35
So 10/35 + 14/35 = 24/35

Question 2
At a rock concert 1/12 of the crowd are girls under 18 and 1/5 of the crowd are boys under 18. Work out the fraction of the audience that are adults (18 or over).

Answer

First you need to work out the fraction of the audience that are under 18. Do this by adding the two fractions together.
1/12 + 1/5
60 is the common denominator as 12 and 5 divide into 60.
1/12 = 5/60
1/5 = 12/60
So 5/60 + 12/60 = 17/60
Therefore 17/60 of the audience are under 18. To work out the amount of adults in the audience you need to take 17/60 from a whole one:
1 – 17/60
60/60 – 17/60 = 43/60
So 43/60 are over 18 or over.

For some more help try these links:

Adding or taking fractions 1

Adding or taking fractions 2

Adding 3 fractions.

Tags

Add Fractions, Adding Fractions, Fractions

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author avatar catman3000
I enjoy writing about math and science. Also, I like to surf the internet looking the newest websites.

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Comments

author avatar Ishaq
12th Aug 2010 (#)

there is no similar fraction

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author avatar Alyssa
24th Jan 2012 (#)

I always found that these tips helped alot with my child http://howtofixstuff.blogspot.com/2012/01/how-to-add-fractions.html

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author avatar Shanda
9th Mar 2012 (#)

i'm having such a hard time figuring out this question 4 my homework .Been on alot a site's still clueless wow .i want some1 .who don't mind helping me

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