**CONVERTING A MIXED NUMBER TO AN IMPROPER FRACTION**

Multiply the denominator of the fraction by the natural number and add the numerator to this product.

Place the result from step 1 over the denominator in the mixed number

3 4/5 = 5x3 + 4 5 = 15 + 4 = 19 5 5

**CONVERTING AN IMPROPER FRACTION TO A MIXED NUMBER**

Divide the denominator into the numerator. Record the quotient (the result of the division) and the remainder.

Write the mixed number using the following form:

Quotient remainder original denominator

42 5)42 5 40 = 8 2/5 2

**PRIME NUMBERS**

A prime number is a natural number greater than 1 that has only itself and 1 as a factor

The first ten prime numbers are: 2, 3, 5, 7, 13, 17,19, 23 and 29

**COMPOSITE NUMBERS**

A composite number is a natural number greater than 1 that is not a prime number which can be expressed as the product of prime numbers.

**FUNDAMENTAL PRINCIPLE OF FRACTIONS**

In words: The value of a fraction does not change if the numerator and denominator are divided (or multiplied) by the same non zero number.

In algebraic language: if a/b is a fraction and c is a nonzero number, then

axc = a

bxc = b

**REDUCING A FRACTION TO ITS LOWEST TERMS**

Write the prime factorization of the numerator and the denominator.

Divide the numerator and the denominator by the greatest common factor, the product of all factors common to both.