Exploring Fractions III

Vocabulary Builder #1 A ______________________ indicates the sum of a whole number and a fraction.

= 2 1. How many hexagons are completely black?

This is the whole number.

2 2. How many pieces are in one block?

This is the denominator of the fraction.

6 3. How many pieces are in black in the hexagon that is multicolor?

5 This is the numerator of the fraction.

Let’s Practice #1 What mixed number is represented by the red hexagons?

Q Q Q qu

4

Let’s Practice #2 What mixed number is represented by the orange hexagons?

Q Q Q Q qp[

Hint: Lowest terms 4 = 4

= 2

3^ =

1 5^ What mixed number is represented? (Simplest form) How many pieces are in one whole? 2 3^ = 2 (Remember that is the denominator.) 6 How many TOTAL pieces are outlined in red?

15 What fraction would represent ALL of the red pieces shown above?

1 ^5 This is a special kind of fraction.

Vocabulary Builder #2 improper fraction the numerator is denominator.

greater than or equal to the

Let’s Practice #3 Male bald eagles generally measure 3 feet from head to tail, weigh 7 to 10 pounds, and have a wingspan of about 6 1@ feet. Write the length of the male bald eagle’s wingspan as an improper fraction.

6

1@

feet

=

?

6 1@ feet = ?

Multiply the whole number and the denominator. Then add the numerator to the product. The new numerator is the sum and the denominator stays the same.

6

1@ = (6 x 2)+ 1 = 2

13 2 6 1@ feet = 1 3@ feet feet

Let’s Practice #4 Convert this mixed number to an improper fraction.

2

1$ = 9$

Let’s Practice #5 Convert this mixed number to an improper fraction.

1

2% = 7%

Let’s Practice #6 Convert this mixed number in to an improper fraction.

4

3$ =1 9$

How do you convert from an improper fraction to a mixed number?

1 2% =

?

Divide the numerator by the denominator. The number of times it goes in is the new whole number. The remainder is the numerator. The divisor is the denominator.

1 2% =

2 t 2 -10 2 R2

Let’s Practice # 7 Convert this improper fraction to a mixed number in simplest form.

1 6# =

5

Let’s Practice # 8 Convert this improper fraction to a mixed number in simplest form.

1 8$ =

4 2$ =4

Let’s Practice # 9 Convert this improper fraction to a mixed number in simplest form.

2 9# =

9

Show You Know

Complete the following two problems independently. Show your work on your study guide. Circle your answer.

A.

If a spaceship lifts off the Moon, it must travel at a speed of 2 per second (km/s) to escape the pull of the Moon’s gravity. Write this speed as an improper fraction.

2% kilometers B. The width of a piece of paper is 8 1@ inches. Write 8 as an improper fraction.