Fractions and Decimals Everywhere!

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Fractions and Decimals Everywhere!

• Adding and Subtracting Mixed Numbers

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Warm-up
Find each sum. Write the answer in simplest
form. 1. 7 4 2. 9 7 3. 6
1 4. 10 4 5. Miles worked 5
hours on Friday and 8 hours on Saturday.
How many total hours did he work?
11
2
1
3
__
__
__
__
3
6
12
8
7
3
2
1
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8
10
5
6
3
2
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3
4
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What am I Learning Today?

• Fractions

How will I show that I learned it?
Adding with regrouping Subtract fractions with
borrowing
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Questions
Answers
How do I add mixed numbers using regrouping?

• Write the mixed numbers vertically
• Make sure the fractions have common denominators
• Add the fractions. Add the whole numbers.
• Change the improper fraction to a mixed number.
  Add it to the existing whole number.
• Simplify

2 4
2
2
4
4
______ ______
7
6
5
Questions
Answers

• Write the mixed numbers vertically
• Make sure the fractions have common denominators
• Subtract the fractions. Subtract the whole
  numbers.
• Simplify

How do I subtract mixed numbers?
4 1
4
4
The LCD of 2 and 7 is 14.
Write equivalent fractions with a denominator of
14.
1
1
______ ______
Subtract the fractions and then the whole
numbers.
3
6
Subtract. Write each answer in simplest form.
8 4
The LCM of 2 and 3 is 6.
8
7
Rename 8 as 7 1 7 .

4
4
______ ______
Subtract the fractions and then the whole
numbers.
3
7
Measurement Application Li is making a quilt.
She needs 15 yards of fabric. Li has 2 yards
of fabric. How many more yards does she need?
Write 15 as a mixed number with a denominator of
4. Rename 15 as 14 .
15
14
Subtract the fractions and then the whole
numbers.
2
2
______ ______
12
Li needs another 12 yards of fabric.
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Questions
Answers
How do I subtract mixed numbers using borrowing?

• Write the mixed numbers vertically
• Make sure the fractions have common denominators
• If the numerator of the top fraction is smaller
  than numerator of the bottom fraction, borrow
  from the whole number.
• Change the whole number to a mixed number whose
  denominator matches the existing fraction, then
  add them together.
• Rewrite the new mixed number
• Subtract the fractions. Subtract the whole
  numbers.
• Simplify

5 2
Rename 5 as 4 1 4 .

5
4
2
2
______ ______
2
2
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Check It Out Subtract. Write each answer in
simplest form.
7 3
12 is a multiple of 6, so 12 is a common
denominator.
7
6
Rename 7 as 6 1 6 .

3
3
______ ______
Subtract the fractions and then the whole
numbers.
3
10
Now Try This!
Subtract. Write each answer in simplest form. 1.
7 3 2. 8 3 3. 7 5 4. 10
4 5. Irena put 10 cups of food in the bird
feeder. The birds ate 3 cups. How many cups
are left?
6 cups
11
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