Simple fractions

[Seham Mohammad]

Identification of Simple Fractions //
All fractions have three parts: a numerator, a denominator, and a division symbol. In the simple fraction, the numerator and the denominator are integers.


Example 1: Find the numerator, denominator, and division symbol for the simple fraction tex2html_wrap_inline47 .

Answer. The numerator is 3, the denominator is 4, and the division symbol is



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[Seham Mohammad]

Factoring Integers

To factor an integer, simply break the integer down into a group of numbers whose product equals the original number. Factors are separated by multiplication signs. Note that the number 1 is the factor of every number. All factors of a number can be divided evenly into that number.

Example 1: Factor the number 3.

Answer:

Since 3 x 1 = 3, the factors of 3 are 3 and 1.
VVV

[Seham Mohammad]

Reducing Fractions //
To reduce a simple fraction, follow the following three steps:

1.
Factor the numerator.
2.
Factor the denominator.
3.
Find the fraction mix that equals 1.


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[Seham Mohammad]

Multiplying Simple Fractions //

To multiply two simple fractions, complete the following steps.

1.
Multiply the numerators.
2.
Multiply the denominators.
3.
Reduce the results.

a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.
VVV

[Seham Mohammad]

To multiply a whole number and a fraction, complete the following steps.

1.
Convert the whole number to a fraction.
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
Reduce the results.
a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

VVV

[Seham Mohammad]

To multiply three or more simple fractions, complete the following three steps.

1.
Multiply the numerators.
2.
Multiply the denominators.
3.
Reduce the results.

a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

[Seham Mohammad]

Dividing Simple Fractions//



To divide one fraction by a second fraction, convert the problem to multiplication and multiply the two fractions.

1.
Change the sign to x and invert the fraction to the right of the sign.
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
Reduce the results.

a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

To divide a fraction by a whole number, convert the division process to a multiplication process, and complete the following steps.

1.
Convert the whole number to a fraction.
2.
Change the sign to x and invert the fraction to the right of the sign.
3.
Multiply the numerators.
4.
Multiply the denominators.
5.
Reduce the results.

a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

To divide three or more fractions, complete the following three steps.

1.
Change the signs to x sign and invert the fractions to the right of the signs.
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
Reduce the results.
a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

[Seham Mohammad]

ADDITION

To add fractions, the denominators must be equal. Complete the following steps to add two fractions.

1.
Build each fraction so that both denominators are equal.
2.
Add the numerators of the fractions.
3.
The denominators will be the denominator of the built-up fractions.
4.
Reduce the answer.
VVVV

[Seham Mohammad]

SUBTRACTION

To subtract, the denominators must be equal. You essentially following the same steps as in addition.

1.
Build each fraction so that both denominators are equal.
2.
Combine the numerators according to the operation of subtraction or additions.
3.
The denominators will be the denominator of the built-up fractions.
4.
Reduce the answer.

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