Transcript Slide 1

Test Review
•
•
•
•
•
•
•
•
•
The test will be on the following:
Improper to Mixed
Mixed to Improper
Simplification
Adding and subtracting fractions with like and unlike
denominators
Adding and subtracting mixed numbers with like and
unlike denominators
Multiplying and dividing fractions
Multiplying with Mixed numbers
Reciprocal
Rules for Mixed to Improper
Step 1: Multiply the whole number with the
denominator.
Step 2: Take the answer from step 1 and add it
to the numerator.
Step 3: Take the answer from step 2 and put it
over the original denominator.
Ex) 2 3 = 2 x 5 = 10 + 3 = 15
5
5
Mixed to Improper
1. 6 1/3
2. 2 1/5
3. 3 2/7
4. 8 1/2
Answers to Mixed to Improper:
1. 9/3
2. 11/5
3. 23/7
4. 17/2
Changing Improper to Mixed Numbers
Step 1: Divide the denominator into the numerator.
Step 2. The quotient is now your Whole number; the
remainder is now your numerator and the divisor is
now your denominator.
3
Ex) 18 ÷ 5 = 5 18
15
Denominator
3
Answer: 3 3
5
Whole number
numerator
Improper to Mixed
1. 8/5
2. 20/9
3. 22/7
4. 13/3
Answers to changing improper to
mixed numbers
1. 1 2/5
2. 2 2/9
3. 3 1/7
4. 4 1/3
Simplifying Fractions
In order to simply fractions you need to see
what number will go into the numerator and the
denominators. You need to get it in the
simplest form.
Ex) 9 ÷ 3 = 3 ÷ 3 = 1
36 ÷ 3 = 12 ÷ 3 = 4
Simplification of Fractions
1. 20/24
2. 2/8
3. 3/9
4. 36/63
Simplification answers
1. 5/6
2. ¼
3. 1/3
4. 4/7
Adding and Subtracting with like
denominators
Step 1: The denominators are the same then
just bring the denominator straight down
Step2: Then add or subtract the numerators
Step 3: Simplify your answer
Ex) 9 + 7 = 16 ÷ 2 = 8 = 1 3
10 10 10 ÷ 2 5
5
Adding and Subtracting with Like
denominators
1. 3/8 + 5/8 =
2. 10/12 – 4/12 =
3. 9/11 + 8/11 =
4. 10/15 - 1/15 =
Adding and Subtracting with like
denominators answer
1. 8/8 = 1
2. 6/12 = ½
3. 17/11 = 1 6/11
4. 9/15 = 3/5
Adding and Subtracting Mixed
Numbers
1. 1 - 9/10 =
2. 37 13/18 - 24 7/18 =
3. 2 3/10 + 4 1/10 =
4. 7 3/5 + 9 2/5 =
Adding and Subtracting Mixed
Numbers answer:
1. 1/10
2. 13 6/18 = 13 1/3
3. 6 4/10 = 6 2/5
4. 16 5/5 = 16 + 1 = 17
Renaming to Subtract
1. 2 ½ - 1 ¾ =
2. 8 2/9 - 2 7/9 =
3. 3 2/6 - 1 2/3 =
4. 7 ¼ - 4 11/12 =
Adding and Subtracting with Unlike
denominators
1. ¾ - ½ =
2. 1/6 + 5/12 =
3. 5/6 - ¾ =
4. ½ + 3/7 =
Adding and Subtracting Mixed
Numbers with Unlike Denominators
1. 7 1/12 + 3 1/3 =
2. 2 1/6 + 2 3/8 =
3. 8 5/6 - 2 ¾ =
4. 6 6/7 - 1 ½ =
Comparing Fractions
When comparing fractions we use the butterfly
method. You go diagonally across from the
denominator to the numerator and multiply and
put the number at the top of the numerator and
compare those numbers.
27
3
7
<
35
5
9
Comparing Fractions
1. 3/5 ____ 4/9
2. 4/7 ___ ¾
3. 2/3 ____ 5/8
4. 3/25 ___ 6/50
Comparing fractions answers:
1 >
2 <
3 >
4 =
Multiplying Fractions
Step 1: Multiply the numerators
Step 2: Multiply the denominators
Step 3: Simplify if necessary
Ex) 3 x
5
4 = 12 ÷ 3 = 4
3
15 ÷ 3 5
Multiplying Fractions
1. 3/8 x 2/9 =
2. 6/4 x 3/2 =
3. 8/11 x 5/4 =
4. 5/7 x 14/5 =
Answers to multiplying fractions:
1. 1/12
2. 9/4 = 2 ¼
3. 10/11
4. 14/7 = 2
Multiplying Mixed Numbers
Step 1: Change all mixed numbers into improper fractions
Step 2: Multiply the numerators
Step 3: Multiply the denominators
Step 4: Simplify if necessary
Ex) 1 3 x 2 4 = 8
5
3
5
x 10 = 80 ÷ 5 = 16 = 5 1
3
15 ÷ 5
3
3
Multiplying with Mixed Numbers
1. 1 1/3 x 6/7=
2. 2 2/9 x 1 3/5 =
3. 2 7/8 x 3 1/3 =
4. 2 ½ x 3 ½ =
Multiplying with mixed numbers
answer:
1. 24/21 = 8/7 = 1 1/7
2. 160/ 45 = 32/9 = 3 5/9
3. 230/ 24 = 115/12 = 9 7/12
4. 35/4 = 8 3/4
Reciprocal
To find the reciprocal of a number you are just
flipping the fraction. The denominator becomes
the numerator and the numerator becomes the
denominator.
Ex) 3
5
= 5
3
Reciprocal of Fractions
1. 8/9 =
2. 2/5 =
3. 3/10 =
4. 7 =
Answer to Reciprocal
1. 9/8
2. 5/2
3. 10/3
4. 1/7
Dividing Fractions
Step 1:
Step 2:
Step 3:
it)
Step 4:
Step 5:
Step 6:
Keep the first fraction the same (Keep It)
Change division to multiplication (Change It)
Take the reciprocal of the second fraction (flip
Multiply numerators
Multiply denominators
Simplify if necessary
Ex) 4 ÷ 3 = 4 x 5 = 10 = 1 1
3
5
3
3
9
9
Dividing Fractions
1. 5 ÷ 2/3 =
2. 6/5 ÷ 3/9 =
3. 7/8 ÷ 5 =
4. 11/5 ÷ 6/5 =
Answers to dividing Fractions
1. 15/2 = 7 ½
2. 18/5 = 3 3/5
3. 7/40
4. 11/6 = 1 5/6
Dividing Fractions
Step 1: All mixed numbers must be made improper
Step 2: Keep the first fraction the same (Keep It)
Step 3: Change division to multiplication (Change It)
Step 4: Take the reciprocal of the second fraction (flip
it)
Step 5: Multiply numerators
Step 6: Multiply denominators
Step 7: Simplify if necessary
Ex) 2 4 ÷ 3 3 = 10 ÷ 18 = 10 x 5 = 50 ÷ 2 = 25
3
5
3
5
3 18 54÷ 2 27
Dividing with Mixed Numbers
1. 1 1/5 ÷ 2 2/3 =
2. 3 2/9 ÷ 4 1/5 =
3. 7 1/6 ÷ 2 3/5 =
4. 3 ¼ ÷ 2 ½ =
Answers to dividing mixed numbers
1. 9/20
2. 145/189
3. 215/78 = 2 59/78
4. 2 3/5