Main Idea

NGSSS

Example 1: Add Mixed Numbers

Example 2: Subtract Mixed Numbers

Example 3: Rename Mixed Numbers to Subtract

Example 4: Rename Mixed Numbers to Subtract

Example 5: Real-World Example

Five-Minute Check

• Add and subtract mixed numbers.

MA.7.A.3.2 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.

Add Mixed Numbers

Find Write in simplest form.

Add the whole numbers and fractions separately.

Simplify.

Estimate 3 + 15 = 18

Add Mixed Numbers

Answer:

Check for Reasonableness: 18

Find Write in simplest form.

A.

B.

C.

D.

Subtract Mixed Numbers

Find Write in simplest form.

Simplify.

Estimate 10 – 5 = 5

Rename the fraction using the LCD. Then subtract.

Subtract Mixed Numbers

Answer:

Check for Reasonableness:

Find Write in simplest form.

A.

B.

C.

D.

Rename Mixed Numbers to Subtract

Find

Since is less than , rename before subtracting.

Estimate

Rename Mixed Numbers to Subtract

Change 1

to    .

Rename Mixed Numbers to Subtract

Simplify.

Subtract the whole numbers and then the fractions.

Rename as .

Check for Reasonableness

Answer:

Find

A.

B.

C.

D.

Find

Rename Mixed Numbers to Subtract

Using the denominator of the fraction in the subtrahend,

11 =

Since is less than rename 11 before subtracting.

Estimate 11 – 9 = 2

Rename Mixed Numbers to Subtract

Simplify.

Subtract.

Rename 11 as .

Answer:

Check for Reasonableness

Find

A.

B.

C.

D.

CRAFTS Marlee is making necklaces and bracelets

for a class craft sale. She uses feet of string

for the necklaces and feet of string for the

bracelets. What is the total length of string that Marlee used?

Answer: The total length of the string is feet.

SEWING Nicole is making pillows to give to her

friends. She has feet of red fabric and feet

of yellow fabric. How many feet of fabric does she have in all?

A. B.

C. D.

Add. Write in simplest form.

A. C. 7

B. 3 D. 7

Subtract. Write in simplest form.

A. 1 C. 2

B. 2 D. 2

Find . Write in simplest form.

A. 10

B. 8

C. 7

D. 7

Find . Write in simplest form.

A. 4

B. 4

C. 4

D. 3

Yesterday Michael ran miles. Today Michael

ran miles. How many more miles did Michael

run today than yesterday?

A. 1 miles

B. 1 miles

C. 2 miles

D. 2 miles

In January, the town water tower was full. In

April, it was full. By what fraction did the water

level decrease?

A. C. 1

B. D. 1

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