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Why is one third greater than one fourth?
When something is cut into equal pieces, (think of a pie), the pieces are larger the fewer pieces there are. If the pie is cut in half, that is an entire HALF of the pie one has to eat. But if the pie is cut into three equal pieces, there are more pieces, but they are smaller. So, one fourth of the pie would be even smaller because you are getting ONE piece of a pie that is cut into FOUR pieces. The bottom number of the fraction is how many equal sized pieces there are, and the top number is how many you are getting.
What is a pie diagram?
A pie diagram or pie chart is an illustration to show how information breaks down into categories. There are examples in the related links. Basically each wedge in a circle is drawn in proportion to the amount of the whole it represents. For example if a pie chart was drawn for a collection of coins where half the coins were dimes and 1/4 of the coins were pennies and 1/4 of the coins were nickels, the pie would be cut in half and then one of the halves cut in half again. Each piece would represent one type of coin.
Is three tenths greater than three twelves?
If a pie is divided into 10 pieces and you get one of them, will each piece be bigger than if the pie is divided into 12? Of course each piece will be bigger. Same for 3 pieces of the pie.
What is pie divided by two?
half a pie
Is one third equivalent to one ninth?
No. One third is 1/3 and one ninth is 1/9. A ninth is much smaller, three thirds is equal to one ninth - 3/9=1/3. Another way to look at it is like a pie. If you cut one pie into three pieces and one pie into nine and took a piece from each. The piece that you took from the pie cut into three would be much bigger, and equal to three pieces of the pie you cut into nine.
