Solve Mixed Operation: Calculate 7×1 + 1/2 Step-by-Step

Order of Operations with Mixed Numbers

7×1+12= ? 7\times1+\frac{1}{2}=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Always solve multiplication and division before addition and subtraction
00:06 Any number multiplied by 1 equals itself
00:09 Now let's continue solving
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

7×1+12= ? 7\times1+\frac{1}{2}=\text{ ?}

2

Step-by-step solution

According to the order of operations, we first place the multiplication operation inside parenthesis:

(7×1)+12= (7\times1)+\frac{1}{2}=

Then, we perform this operation:

7×1=7 7\times1=7

Finally, we are left with the answer:

7+12=712 7+\frac{1}{2}=7\frac{1}{2}

3

Final Answer

712 7\frac{1}{2}

Key Points to Remember

Essential concepts to master this topic
  • Order: Multiplication comes before addition in mixed operations
  • Technique: Solve 7×1 = 7 first, then add 7 + 1/2
  • Check: Final answer 7½ equals 7 + 0.5 = 7.5 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't add 1 + 1/2 first to get 1½, then multiply by 7 = 10½! This ignores order of operations and gives the wrong result. Always multiply 7×1 first, then add the fraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( 12+3\cdot0= \)

FAQ

Everything you need to know about this question

Why can't I just go from left to right?

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Order of operations (PEMDAS/BODMAS) requires multiplication before addition! Going left to right would give you the wrong answer. Always do multiplication first, then addition.

How do I add a whole number and a fraction?

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Keep the whole number as is and add the fraction: 7+12=712 7 + \frac{1}{2} = 7\frac{1}{2} . You can also convert to decimals: 7 + 0.5 = 7.5!

What if I get confused about the order?

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Remember PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Multiplication always comes before addition, so do 7×1 first!

Is 7½ the same as 15/2?

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Yes! 712=152=7.5 7\frac{1}{2} = \frac{15}{2} = 7.5 . Mixed numbers, improper fractions, and decimals are just different ways to write the same value.

Can I use parentheses to make it clearer?

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Absolutely! Writing (7×1)+12 (7\times1) + \frac{1}{2} shows exactly what to do first. Parentheses help organize your thinking and prevent mistakes.

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