Monday, April 5, 2010

Brianna's Fraction Growing Post

Hey everybody, today I will be talking about fractions. You can multiply and divide fractions by whole numbers and other fractions. In my post I'm going to show you how to do it all.

Starting with....MULTIPLYING BY WHOLE NUMBERS:

There are two ways of finding the product of a fraction. This is the first way is straight multiplying:

When you multiply 3 by 4/5, you get an improper fraction. You can't keep an improper fraction, so you have to turn it into a mixed fraction. First you have to find out how many times 5 goes into 12 which is 2, which would be the whole. Then the remainder which would be 2 would go over the five. So the resulting fraction would be 2 2/5.

The second way of multiplying a fraction is with a picture:

To find the product using pictures, first you have to make three groups of 4/5. Then you put all the shaded pieces together to get 2 2/5.

Time for Division

There is only one way to divide a fraction.

You have to divide a fraction using a pictures:

First you have to draw a rectangle and divide it into a half. Then you divide it into three pieces.

Which would give you 1/6.

Finally I'm going to show you how to multiply a fraction by a fraction.

Part 2

This is the second part to my growing post. I will be showing you how to multiply a fraction by a fraction, a fraction by a mixed number, and a mixed fraction by a mixed fraction.

1. Fraction by a fraction a fraction

Multiplying a fraction by a fraction is just straight multiplication, no tricks or conversions necessary.

2. A fraction multiplied by a mixed fraction:

When multiplying a mixed fraction by a regular fraction, you have to first convert the mixed fraction to make an improper fraction.

3. Mixed fraction multiplied by a mixed fraction:

When multiplying a mixed fraction by a mixed fraction, you must first convert them into improper fractions. To do that, first you must multiply the denominator by the whole number then add the numerator. Then when you have your improper fractions, you multiply them together to get your answer. If necessary, you simplify and if the numerator is bigger than the denominator, then you divide them to get a whole number and whatever is left over becomes, your fraction.

Part 3

This is part 3 of my scribe post...and hopefully the last. Anyways this part is going to be about dividing a fraction by a fraction, and dividing a fraction by a mixed fraction.

1. Fraction divided by a mixed fraction:

To divide a fraction by a mixed fraction:
First you have to find the common denominator. In this question the common denominator would be 4. Then you must find out how many times 3/4 goes into 1 1/2 which would be two times with a remainder of 1 third.

2. Fraction divided by a fraction:
To divide a fraction by a fraction, you have to find out how many times the fraction that is doing the dividing goes into the number that is being divided. For example 1/2 goes into 3/4 1 and an half times.