Forms of Fractions
Objectives:
…to write equivalent fractions and fractions in simplest form
…to write improper fractions as mixed numbers (and vice versa)
Assessment Anchor:
7.A.3.2 – Compute accurately with and without use of a calculator
Vocabulary alert!!
EQUIVALENT FRACTION – a fraction that has the same
value as a given fraction
NOTES
**To write an equivalent fraction:
MULTIPLY or DIVIDE the numerator
and denominator by the same number
EXAMPLES
Explain how each fraction is equivalent to the given fraction.
8
10
16
20
4
5
24
30
32
40
Forms of Fractions
1
4
7
28
3
12
10
40
6
24
Write 3 equivalent fractions for the given fraction:
1)
6
15
2)
25
40
Vocabulary alert!!
SIMPLEST FORM (of a fraction) – an equivalent fraction
for which the only common
factor of the numerator and
denominator is 1.
MORE NOTES
**To write a fraction in simplest form:
DIVIDE the numerator and denominator
by the same number until you can’t
divide evenly anymore!
“Use your divisibility rules to help
you find common factors!”
Forms of Fractions
EXAMPLES
Write
36
54
36
54
in simplest form.
18
27
Write
12
60
12
60
6
9
2
3
in simplest form.
6
30
3
15
1
5
Write each fraction in simplest form:
3)
48
60
5)
144
252
4)
21
28
6)
30
26
Vocabulary alert!!
PROPER FRACTION – a fraction that represents a positive
number that has a value less than 1
IMPROPER FRACTION – a fraction that represents a
positive number that has a
value more than 1
MIXED NUMBER – the sum of a whole number and a
fraction
Forms of Fractions
MORE NOTES
**To write an improper fraction as a mixed number:
1. Divide the numerator by the denominator
2. The quotient becomes the WHOLE NUMBER part of the mixed
number.
3. The remainder becomes the NUMERATOR part of the mixed
number.
4. The denominator remains the same.
EXAMPLES
2
5 ) 13
13
5
23
5
– 10
3
5
7 ) 36
36
7
51
7
– 35
1
Write each improper fraction as a mixed number in simplest form:
7)
48
9
9)
80
12
8)
73
7
10)
36
8
Forms of Fractions
MORE NOTES
**To write a mixed number as an improper fraction:
1. Multiply the denominator and the whole number, then add the
numerator to it. THIS ANSWER becomes the NUMERATOR of the
improper fraction.
2. The denominator remains the same.
EXAMPLES
23
4 × 2 = 8, 8 + 3 = 11
51
6 × 5 = 30, 30 + 1 = 31
9
9
1
4
6
11
4
31
6
***Special Situation: Whole numbers can
be written as improper fractions too!!
Write each mixed number as an improper fraction:
11) 3 5
8
12) 7 9
11
“Improper fractions are NOT bad!
Sometimes we prefer them to be
like that!”