Friday, 13 May 2016

Fraction's

Fractions of a quantity

How do we find Equation: frac{3}{5} of 20?
Method 1 is to find Equation: frac{1}{5} of 20, then multiply by 3.
Equation: frac{1}{5} of 20 is Equation: 20 div 5 = 4 .
We need Equation: frac{3}{5} of 20, so we multiply 4 by 3.
Equation: frac{3}{5} of Equation: 20 = 4 times 3 = 12 .
Method 2 is to multiply Equation: frac{3}{5} by 20.
Equation: frac{3}{5} times 20 = frac{3}{5} times frac{20}{1} = frac{60}{5} = 12 
 
 
A fraction can be written in different ways and still mean the same thing. These are called equivalent fractions. Look at the shaded areas in this rectangle.
Diagram showing equivalent fractions Diagram showing equivalent fractions
So Equation: frac{3}{5} = frac{6}{10} .
You can produce lots of equivalent fractions by multiplying or dividing the top and bottom by the same number.
  • Equation: frac{3}{4} times 2 = frac{6}{8}
  • Equation: frac{3}{4} times 3 = frac{9}{12}
  • Equation: frac{3}{4} times 4 = frac{12}{16}

If you are asked to fill in a missing number, remember that the top and bottom must be multiplied or divided by the same number.

No comments:

Post a Comment