Solve the Expression: 7 - 1 + ½ Step-by-Step

Order of Operations with Mixed Numbers

71+12= 7-1+\frac{1}{2}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:04 Solve the expression according to the correct order of operations, from left to right
00:08 Proceed one operation at a time
00:14 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

71+12= 7-1+\frac{1}{2}=

2

Step-by-step solution

According to the order of operations rules, we solve the exercise from left to right:

71=6 7-1=6

6+12=612 6+\frac{1}{2}=6\frac{1}{2}

3

Final Answer

612 6\frac{1}{2}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow left-to-right order for same-level operations
  • Technique: Compute 7-1=6 first, then add 12 \frac{1}{2}
  • Check: Verify 6 + 0.5 = 6.5 = 612 6\frac{1}{2}

Common Mistakes

Avoid these frequent errors
  • Adding fractions before subtracting whole numbers
    Don't solve 1 + 12 \frac{1}{2} = 112 1\frac{1}{2} first, then 7 - 112 1\frac{1}{2} = 512 5\frac{1}{2} ! This ignores left-to-right order and gives the wrong answer. Always work from left to right: 7-1=6, then 6+12 \frac{1}{2} .

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I work from left to right instead of doing fractions first?

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Addition and subtraction have the same priority level in order of operations. When operations have equal priority, you must work left to right. Fractions don't get special treatment here!

How do I add a whole number and a fraction?

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Simply place the fraction after the whole number: 6+12=612 6 + \frac{1}{2} = 6\frac{1}{2} . The whole number stays as is, and the fraction becomes the fractional part of your mixed number.

Can I convert everything to decimals instead?

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Yes! You can work with 71+0.5=6.5 7 - 1 + 0.5 = 6.5 , then convert back to 612 6\frac{1}{2} . Both methods work perfectly fine.

What if the problem had parentheses?

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Parentheses would change everything! You'd solve inside parentheses first, then follow left-to-right order for the remaining operations.

How do I know my mixed number answer is correct?

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Convert to decimal and check: 612=6.5 6\frac{1}{2} = 6.5 . Also verify: 71+0.5=6+0.5=6.5 7 - 1 + 0.5 = 6 + 0.5 = 6.5

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