multiplying and dividing fractions case 2. multiplication multiplying fractions is actually very...
TRANSCRIPT
MULTIPLICATION
Multiplying fractions is actually very easy!
You begin by placing the two fractions you wish to
multiply next to each other.• Example: 1/3 x 5/8
Next you multiply the two numerators• Example- the two numerators are 1 and 5 so the
numerator of the answer will be 1 x 5 which is 5
MULTIPLICATION
Next multiply the two denominators together• The two denominators are 3 and 8 so the
denominator in the answer will be 3 x 8 which equals 24
Combine the final numerator and denominator
together to get a final fraction• Example- the final numerator was 5 and the final
denominator was 24 so the final fraction will be 5/24.
MULTIPLICATION
The final step in multiplying fractions is to check
if your final answer can be reduced• Reducing means checking to see if the numerator and
denominator can be divided by a common number• In our case the fraction is 5/24. There is no number that you
could divide 5 and 24 by. Therefore, 5/24 is the final answer.• An example of a fraction that can be reduced would be
5/30. The common number that you can divide by is 5. You can divide 5 by 5 to get 1 and you can divide 30 by 5 to get 6. So the new numerator will be 1 and the new denominator will be 6. The final fraction is 1/6.
DIVISION
Dividing fractions is actually very similar to
multiplying.
Before we begin you will need to know what
the term reciprocal means.• The reciprocal of a fraction is simply switching the
numerator and the denominator. • For example, the reciprocal of 5/8 is 8/5
DIVISION
Now that you know what the reciprocal of a
fraction is we can learn to divide.
We will begin with the equation 5/8 ÷ 3/4.• To divide a fraction, what you really want to do is
multiply by the reciprocal.• So we want to do 5/8 x the reciprocal of 3/4• As we mentioned earlier, the reciprocal is simply
switching the numerator and denominator of a fraction. Therefore the reciprocal of 3/4 would be 4/3
DIVISION
So, if dividing fractions really means multiply
by the reciprocal we want to do 5/8 x the
reciprocal of 3/4. • We know that the reciprocal of 3/4 is 4/3 so the
equation we really want to solve is 5/8 x 4/3
From this point you simply solve the equation
the exact same way you solve a multiplication
problem.
DIVISION
First you multiply the numerators of 5 and 4 to
get 20 and then multiply the denominators to
get 24. The final fraction is 20/24.• Like any multiplication problem, you have to see if the
fraction can be reduced by a common number.• In this case, 20 and 24 can both be divided by 4 so the
new numerator will be 5 and the new denominator will be 6. The result is a final answer of 5/6
So, 5/8 ÷3/4 is 5/6.