# algebra

Essay by xodfbaJunior High, 7th gradeC+, September 2014

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.