Mary&and&+Angelo

  Fast Facts

Fractions **are parts of a whole. ** They are not indicating how large the whole is. Rather, they describe what part of the whole is represented. The **denominator tells into how many parts the whole** **is divided**; the numerator indicates the represented number of pieces of the whole.    A **fraction can be reduced** if the numerator and denominator are evenly divisible by the same number. Divide both the numerator and denominator by the same number. The resulting numerator and denominator create the reduced fraction.


 * A** **fraction** - the numerator is smaller than the denominator indicating a part of a whole.


 * An improper fraction** - the numerator is larger than the denominator indicating a whole or mixed number


 * A** **number**  - a whole number and a proper fraction indicating whole number(s) plus a part of a whole.

**a fraction** to a higher denominator is required when combining fractions with different denominators. To build the fraction to a higher denominator, both numerator and denominator must be multiplied by the same factor. This gives an equivalent fraction which can be reduced to yield the original fraction.

**all of the denominators are the same** , numerators can be added or subtracted and placed over the same denominator.

**a mixed number into an improper fraction** - You multiply the denominator with the whole number, and then add it to the numerator. After, place it over the denominator. The equation should be - D x WN + N /D. **When** **fractions (improper and proper),**  you can cancel from numerator to denominator if they are divisible by the same number. (Never cancel numerator to numerator or denominator to denominator.)


 * A fraction with a denominator of** is equal to a whole number


 * A fraction with**  in the numerator equals 0.


 * To divide fractions** , write the original first fraction with no changes and invert the second fraction and multiply.

