Exploring Fractions III

1
Exploring Fractions III
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Vocabulary Builder 1
A ______________________ indicates the sum of a
whole number and a fraction.
mixed number
3
quiopp quiopp qipu
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1. How many hexagons are completely black?
2
This is the whole number.
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
Lets Practice 1
What mixed number is represented by the red
hexagons?
Quiopp Q Q Q
quiop
41
5
Lets Practice 2
What mixed number is represented by the orange
hexagons?
Q Q Q Q qpyuio
41
42
Hint Lowest terms
6
Qpoiuyt Quiop Qpi
23 1 5
23 21_at_
What mixed number is represented? (Simplest form)
How many pieces are in one whole? (Remember
that is the denominator.)
6
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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
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Lets Practice 3
Male bald eagles generally measure 3 feet from
head to tail, weigh 7 to 10 pounds, and have a
wingspan of about 61_at_ feet. Write the length
of the male bald eagles wingspan as an improper
fraction.
61_at_ feet ?
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61_at_ 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
61_at_
(6 x 2) 1
feet
2
2
61_at_ feet 1 3_at_ feet
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Lets Practice 4
Convert this mixed number to an improper fraction.
21
9
11
Lets Practice 5
Convert this mixed number to an improper
fraction.
12
7
12
Lets 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
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Lets Practice 7
Convert this improper fraction to a mixed number
in simplest form.
51
1 6
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Lets Practice 8
Convert this improper fraction to a mixed number
in simplest form.
42
41_at_
1 8
17
Lets Practice 9
Convert this improper fraction to a mixed number
in simplest form.
92
2 9
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Show You Know
Complete the following two problems
independently. Show your work on your study
guide. Circle your answer.
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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 Moons gravity.
Write this speed as an improper fraction.
B. The width of a piece of paper is 81_at_
inches. Write 81_at_ as an improper fraction.