Chapter 3

Fractions

• Numerator (top number / part)• Denominator (bottom number / whole)• Whole Number (1, 2, 3)• Fraction (1/2, 2/3, ¾)• Mixed Number (1 ½, 2 2/3, 3 ¾)

Equivalent Fractions

• Fraction that names the same number as another fraction.

• 1/3 = 1/3 x 2/2 = 2/6• 8/12 = 8/12 / 4 = 2/3

Simplifying Fractions

• Lowest terms• Greatest Common Factor

– 4/8 = ½

– ¼ + ½ =

– 10/12 + 5/8 =

Multiplying Fractions

• Simplify

– 4/8 * 2/5 =

– ¼ * ½ * ¾ = • Cancelling

– 10/12 * 6/8 =

Dividing Fractions

• Reciprocal

– 4/8 / 2/5 =

– ¼ / ½ = • Cancelling

– 10/12 / 6/8 =

Proper vs Improper Fraction

• Proper fraction has a numerator that is smaller than the denominator.

• Improper fraction has a numerator that is equal to or greater than the denominator.

Complete the time card for Cassandra, regular hours are from 8 to 12 and 1 to 5. Evening hours are considered overtime pay; she is paid time and a half of her regular pay. Penalties of 15 minute intervals

are given for arriving more than 3 minutes late or leaving more than 3 minutes early.

Dept. 8

Badge No. 23

Employee: Cassandra Helmers Week Ending February 25, 2004

Morning Afternoon Evening Hours Worked In Out In Out In Out Regular Overtime

M 7:55 12:05 12:58 5:03 6:00 8:45 T 8:00 11:30 1:00 4:30 5:30 6:45 W 7:45 12:00 2:00 5:00 T 8:00 12:00 1:05 5:05 F 8:30 12:00 1:00 4:15 6:30 8:15 Hours Rate Gross Pay Regular 9.70 Overtime Total ------

Mixed Numbers

• Adding– 3 ½ + 2 ¼ =

• Subtracting– 6 ½ - 4 ¾ =

• Multiplying– 3 ½ * 6 ¼ =

• Dividing– 3 ½ / 1 ¾ =

Fractional Relationships

• 5/8 as much as $60 is ?

• $40 plus 7/8 of itself is ?

• What part of 36 is 4?

• 30 is ? Smaller than 40