1. Exploring Fractions III

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

3. quiopp[] quiopp[ qip[]]u][[]
=25^
1. How many hexagons are completely black?
This is the whole number. 2
2. How many pieces are in one block? 6
This is the denominator of the fraction.
3. How many pieces are in black in the hexagon that is multicolor? 5
This is the numerator of the fraction.

4. What mixed number is represented by the red hexagons?
Let’s Practice #1
What mixed number is represented by the red hexagons?
Quiopp[ Q Q Q quiop[]
41^

5. What mixed number is represented by the orange hexagons?
Let’s Practice #2
What mixed number is represented by the orange hexagons?
Q Q Q Q qp[]yuio
=41#
Hint: Lowest terms
42^

6. What mixed number is represented? (Simplest form)
Qpoiuyt Quiop][ Q[p[i
=23^ = 1 5^
23^
What mixed number is represented? (Simplest form)
How many pieces are in one whole?
(Remember that is the denominator.) 6 15
How many TOTAL pieces are outlined in red?
What fraction would represent ALL of the red pieces shown above?
1 ^5 This is a special kind of fraction.

7. Vocabulary Builder #2
An _________________ is a fraction where the numerator is greater than or equal to the denominator.
improper fraction

8. 61@ feet= ? 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 feet. Write the length of the male bald eagle’s wingspan as an improper fraction.
feet= ?

9. 61@ = 61@ feet = 1 3@ feet 13 (6 x 2)+ 1 = 2 2 61@ feet = ? 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. 13 =
(6 x 2)+ 1 =
feet 2 2
feet = feet

10. Convert this mixed number to an improper fraction.
Let’s Practice #4
Convert this mixed number to an improper fraction.
21$ = 9$

11. Convert this mixed number to an
Let’s Practice #5
Convert this mixed number to an
improper fraction.
12% = 7%

12. Let’s Practice #6
Convert this mixed number in to an improper fraction.
43$ =
1 9$

13. 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.

14. 2 % 2
1 2% = 2 R2 t
5 12
-10 2

15. 1 6# = 51# Let’s Practice # 7 Convert this improper fraction to
a mixed number in simplest form.
51#
1 6# =

16. Convert this improper fraction to a mixed number in simplest form.
Let’s Practice # 8
Convert this improper fraction to a mixed number in simplest form.
42$
1 8$ =

17. 92# 2 9# = Let’s Practice # 9 Convert this improper fraction to
a mixed number in simplest form.
92#
2 9# =

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

19. A. If a spaceship lifts off the Moon, it must travel at a speed of 22% kilometers per second (km/s) to escape the pull of the Moon’s gravity. Write this speed as an improper fraction.
B. The width of a piece of paper is inches. Write as an improper fraction.