XXI. Intro to Fractions & Equivalent Fractions
XXII. Simplest Form
XXIII. Converting Fractions & Decimals
XXIV. Comparing and Ordering Fractions
XXV. Adding and Subtracting Fractions
XXVI. Borrowing w/MN Subtraction
XXVII. Multiplying Fractions and Mixed Numbers
XXVIII. Dividing Fractions and Mixed Numbers
Simplest Form Means proper fractions get reduced to lowest terms
(the GCF is 1) improper fractions get changed into either a mixed number or a whole number
Write each fraction in simplest form.
1) 35 2) 46 3) 56 4) 64
40 8 72 4
1) 7/8 2) 5 ¾ 3) 7/9 4) 16
Make equivalent fractions.
1) 3/4 = 21/? 2) 2/3 = ?/27 3) ?/15 = 108/135
1) ?= 28 2) ? =18 3) ?= 12
Compare. Use <, > or =.
1) 10/15 _____ 14/21
2) 7/8 ______ 4/5
3) 3/7 ______ 3/9
1) = 2) > 3) >
Write each decimal as a fraction or mixed number in simplest form.
1) .48 = _____ 2) 4.125 = ____
3) 3.85 = _____ 4) .275 = _____
5) .025 = _____ 6) 7.44 = ______
1) 12/25 2) 4 1/8 3) 3 17/20
4) 11/40 5) 1/40 6) 7 11/25
Write each fraction or mixed number as a decimal. If it is a repeating decimal, use bar notation.
1) 1/80 = ______ 2) 13/20 = ______
3) 5 7/18 = ______ 4) 7 11/25 = _______
5) 4/15 = ______ 6) 13/9 = ________
1) .0125 2) .65 3) 5. 38
4) 7.44 5) .26 6) 1.44
Write each as a fraction.
1) 2 3/5 2) 7 3) 5 8/11
1) 13/5 2) 7/1 3) 63/11
Add. Give the answer in simplest form.
1) 15
5/6
+ 18
2/3
=
2) 6
7/8
+ 1
3/10
=
3)
5/6
+
7/8
+
2/3
=
Answers: 1) 34
1/2
2) 8
7/40
3) 2
3/8
Subtract. Give the answer in simplest form.
1) 10
2/5
- 4
1/6
=
2) 8 - 6
4/7
=
3) 5
7/10
- 3
1/2
=
4) 13 - 4
2/11
=
5) 4
7/10
- 2
9/10
=
Answers: 1) 6
7/30
2) 1
3/7
3) 2
1/5
4) 8
9/11
5) 1
4/5
Multiply. Give the answer in simplest form.
1)
2/5 x
5/6
=
2) 2
1/4 x 2
2/3
=
3)
20/35 x
21/24 x
15/30
=
4) 3
8/9 x 2
3/5
=
Answers: 1) 1/3 2) 6 3) 1/4 4) 10 1/9
Divide. Give the answer in simplest form.
13)
7/8
÷ 2 =
14)
3 1/3
1 5/12
15) 3
1/8
÷ 1
1/4 =
16) 2
4/5
÷ 1
5/7
=
This is a complex fraction. A complex fraction has a fraction within a fraction. This simply means division. Therefore, this problem can also be written:
3 1/3 ÷ 1 5/12 .
Answers: 13)
7/16
14) 2
6/17
15) 2
1/2
16) 1
19/30