FRACTIONS

Adding and Subtracting Fractions

Fraction Review A fraction is a numerical

quantity that is not a whole number.

A fraction consists of two parts, a numerator and a denominator.

The top number is called the numerator. The bottom number is called the denominator.

More Review An improper fraction is a fraction

that has a numerator larger than or equal to its denominator.

A mixed number consists of an integer followed by a proper fraction.

You can change an

improper fraction to a

mixed number, by dividing

the numerator(7) by the

denominator(5). This gives a

quotient of 1 and a

remainder of 2. The

remainder is placed over the

divisor (5).

To change a mixed number

to an improper fraction,

you “chicken beak,” or

multiply the denominator(5)

by the whole number(1) and

then add the quotient(5) to

the numerator(2). This

gives 7, and it is placed over

the original denominator of

5.

Definition: A fraction is numerical quantity that is not a whole number.

Characteristics:

There are proper and improper fractions.

Examples:

1 / 2 2 / 5 7 / 15

Not a fraction:

5 12489 18 58

Fractions

Adding fractions with like denominators

To add two fractions with the same denominator, add the numerators and place that sum over the common denominator.

Adding fractions with unlike denominators

To add two fractions with different denominators, find the Least Common Denominator (LCD) of the fractions.

Rename the fractions to have the LCD. Add the numerators of the fractions. Simplify the fraction.

Let’s see you do it! Copy each problem on your personal dry erase boards. Girls, do the even problems, and boys do the odds! Circle your answers, and turn your board over so that I can come and check!

Subtracting FractionsWhen subtracting fractions, you use the same method as when you add fractions, except you SUBTRACT. So, to subtract two fractions with the same denominator, subtract the numerators and place that sum over the common denominator. To subtract two fractions with different denominators, find the Least Common Denominator (LCD) of the fractions. Rename the fractions to have the LCD. Subtract the numerators of the fractions. Always simplify if needed.

Let’s see you do it! Copy each problem on your personal dry erase boards. Boys, do the even problems, and girls do the odds! Circle your answers, and turn your board over so that I can come and check!

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Need a little practice? Try these at home!!

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