Transcript Fractions and Decimals Everywhere!

Fractions and
Decimals
Everywhere!
Adding and Subtracting
Mixed Numbers
Warm-up
Find each sum. Write the answer in simplest form.
2
__ + 4__
1. 7 11
1 + 7__
3
2. 9 __
7
3
3. 6 __
+ 1 __
2 + 4__
1
4. 10 __
12
8
3
6
8
5
10
6
3
2 hours on
5. Miles worked 5 __ hours on Friday and 8 __
4
3
Saturday. How many total hours did he work?
What am I Learning Today?
Fractions
How will I show that I learned it?
Adding with regrouping
Subtract fractions with borrowing
Questions
How do I add
mixed numbers
using
regrouping?
Example 1
Answers
• 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
7
2
__
__
+4
8
3
Questions
How do I add
mixed numbers
using
regrouping?
Example 2
Answers
• 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
1
__
__
3
3
+5
3
4
Questions
How do I subtract
mixed numbers?
Example 3
Answers
• Write the mixed numbers vertically
• Make sure the fractions have common
denominators
• Subtract the fractions. Subtract the
whole numbers.
• Simplify
1
3
4 __ – 1__
2
7
Questions
How do I
subtract mixed
numbers using
borrowing?
Example 4
1
5
__
__
5
–2
8
8
Answers
• 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
Subtract. Write each answer in
simplest form.
Example 5
1
6
7
12
7 __ – 3 __
Example 6
Measurement Application
Li is making a quilt. She needs 15 yards of fabric.
3
__
Li has 2
yards of fabric. How many more yards does she
4
need?
Now Try This!
Subtract. Write each answer in simplest form.
4 – 3 __
6
1. 7 __
7
7
2
3. 7 – 5 __
9
1
5
__
3
7
7
__
9
7
4
__
__
2. 8
–3
10
5
4
9
__
10
13
9
3 – 4 __
4. 10 __
5 __
8
16
16
5. Irena put 10 cups of food in the bird feeder. The birds ate
5
3 cups. How many cups are left?
3 __
6__ cups
8
8