Читать книгу Algebra I All-in-One For Dummies - Mary Jane Sterling, Mary Sterling Jane - Страница 76

An improper fraction is one where the numerator (the number on the top of the fraction) has a value greater than or equal to the denominator (the number on the bottom of the fraction) — so the fraction is top heavy. Improper fractions can be written as mixed numbers or whole numbers, and vice versa. A mixed number contains both a whole number and a fraction.

To convert a mixed number to an improper fraction: Multiply the integer (A) times the denominator (D) and add the numerator (N). Put that result over the denominator (D).

To convert an improper fraction to a mixed number: Divide the numerator (N) by the denominator (D). Put the quotient (Q) in front as the integer, the remainder (R) as the numerator, and the denominator (D) in its usual place.

You sometimes want an improper fraction, and other times a mixed number; it just depends on what you’re doing at the time. You can easily change from one form to the other.

Q. After the party, Maria puts all the leftover pieces of pizza together. There are 15 pieces, each of a pizza. How much pizza does Maria have left?

A. Maria has a whole pizza plus seven pieces more: . (So she’ll have to save two pizza boxes to put the leftovers in.)

Q. A recipe calls for cup of sugar, but you want to double the recipe (you have a hungry family). Doubling the sugar requires cups. If you’re using a 1-cup measuring cup, your cup will runneth over. How much more than a cup of sugar is this?

A. , so you’ll need a full cup plus cup more.

1 Change the improper fraction to a mixed number.

2 Change the mixed number to an improper fraction.

3 Change the mixed number to an improper fraction.

4 Change the mixed number to an improper fraction.

5 Change the improper fraction to a mixed number.

6 Change the improper fraction to a mixed number.