Subtracting Mixed Numbers: Step-by-Step Solutions

Learn how to subtract mixed numbers with unlike denominators, including regrouping, with clear step-by-step solutions and simplified fractions.

Answer

Based on the image provided, here are the step-by-step solutions for the subtraction problems listed. The instruction is to “Subtract. Simplify to the lowest terms.”

Problem 1

Step 1: Find a common denominator.
The denominators are

and

. The least common multiple (LCM) is

Step 2: Regroup (borrow) because .
Borrow

from the whole number

Step 3: Subtract.

Final Answer:

Problem 2

Step 1: Find a common denominator.
The denominators are

and

. The LCM is

Step 2: Regroup (borrow) because .
Borrow

from the whole number

Step 3: Subtract.

Final Answer:

Problem 3

Step 1: Find a common denominator.
The denominators are

and

. The LCM is

Step 2: Regroup (borrow) because .
Borrow

from the whole number

Step 3: Subtract.

Final Answer:

Problem 4

Step 1: Find a common denominator.
The denominators are

and

. The LCM is

Step 2: Regroup (borrow) because .
Borrow

from the whole number

Step 3: Subtract.

Final Answer:

Problem 5

Step 1: Find a common denominator.
The denominators are

and

. The LCM is

Step 2: Subtract.
Since

, we can subtract directly:

Final Answer:

Subtracting Mixed Numbers: Step-by-Step Solutions

Question

Answer

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

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