Adding and Subtracting Mixed Numbers Lesson 43 WarmUp Find the value of 3 4 1 Find the value of 5 3 3 Find the value of 12 4 2 Rewrite as an improper fraction ID: 815246
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Slide1
Core Focus on Decimals& Fractions
Adding and Subtracting Mixed Numbers
Lesson 4.3
Slide2Warm-UpFind the value of 3 × 4 + 1.
Find the value of 5 × 3 + 3.
Find the value of 12 × 4 + 2.
Rewrite as an improper fraction. Rewrite as an improper fraction.
13
18
50
Slide3Adding and Subtracting Mixed NumbersFind sums and differences of expressions
that include mixed numbers.
Lesson 4.3
Slide4Explore! Mixing Paint
Kazi painted his bedroom. He mixed different colors of paint together to make new and exciting
shades.
Step 1
Kazi purchased two small cans of paint for the ceiling. The can of red paint contained pints. The can of blue paint contained pints. He mixed the two cans of paint together. How much paint does he have for the ceiling?
a.
Write the problem as a mathematical expression.
b. Write each mixed number as an improper fraction.c. Rewrite the fractions using the least common denominator.
d. Find the sum or difference. Simplify your answer and convert it to a mixed number, if needed.
Step 2
Kazi
bought gallons of yellow and gallons of green paint for
the walls. He mixed the two colors of paint together. How much
paint does he have available for the walls?
a.
Write the problem as a mathematical expression.
b.
Write each mixed number as an improper fraction.
c.
Rewrite the fractions using the least common denominator.d. Find the sum or difference. Simplify your answer and convert it to a mixed number, if needed.
Slide5Explore! Mixing Paint
Kazi painted his bedroom. He mixed different colors of paint together to make new and exciting
shades.
Step 3
Kazi bought pints of white paint for the trip. When he finished painting he still had pint of white paint left. How much paint did
Kazi use?
a.
Write the problem as a mathematical expression.b. Write each mixed number as an improper fraction.c. Rewrite the fractions using the least common denominator.
d. Find the sum or difference. Simplify your answer and convert it to a mixed number, if needed.
Step 4
Explain in your own words how to add or subtract mixed numbers
using the method in this
Explore!
.
Slide6Adding or Subtracting Mixed Numbers Using Improper Fractions
Write the mixed numbers as improper fractions.
If the denominators are different, rewrite the fractions using the least common denominator (LCD).
Add or subtract the numerators.
Write the sum or difference over the common denominator.
Simplify the fraction.
Slide7Example 1Find the value of .
Change each mixed numberto an improper fractions.
Write equivalent fractions with the
and
least common denominator, 12.
Add the numerators.
Write as a mixed number.
Slide8Example 2Seth ran a mile around the track. It took him minutes to run a mile. His friend, Tremaine, also ran a mile on the track. It took
Tremaine minutes to run the mile. How much faster did Seth run than Tremaine?
Write the problem.
Write the mixed numbers
as improper fractions.
Write equivalent fractions with
the LCD of 6.
Subtract the numerators.Write the fraction in simplest form.Seth ran the mile minute faster than
Tremaine.
Slide9Communication PromptWhat is the process for adding ?
Slide10Exit Problems1. Find the value of .
2. Jacob collected bags of aluminum cans to recycle on Monday. He collected bags of aluminum cans to recycle on Tuesday. How many bags did he collect in the two days?
3. Find the value of .
4. Carmen bought 10 pounds of flour. She used pounds of flour for baking one week. How many pounds of flour did she have left?