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Algebra: Fraction Problems

 

 

Fraction Problems are word problems that deal with fractions i.e. parts of a whole.

Remember to read the question carefully to determine the numerator and denominator of the fraction.

Example 1:

A class has 20 girls and 30 boys. What part of the class are boys?

Solution:

Step 1: Numerator: boys = 30

Step 2: Denominator: class = 20 + 30 = 50

Step 3: Part or fraction

3/5

Answer: 3/5 are boys

 

 

Example 2:

If John earns $x in a week and spend $y, what part of his weekly salary did he save?

Solution:

Step 1: Numerator: amount saved= xy

Step 2: Denominator: salary = x

Step 3: Part or fraction

x-y/x

Answer: x-y/x

Example 3:

14 is 2/3 of what number?

Solution:

Step 1: Assign variables :

Let x = number

Step 2: Solve the equation

14=2/3 x

Isolate variable x
x = 21

Answer: The number is 21.

 

 

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