Solve: (1/2 × 1/2) + 3/4 - Mixed Fraction Operations

12×12+34= \frac{1}{2}\times\frac{1}{2}+\frac{3}{4}=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem step by step!
00:08 First, multiply the numerators together. Then, multiply the denominators together.
00:13 Next, calculate these multiplications carefully.
00:17 Now, add the results using the common denominator.
00:25 Then, work out what the new numerator is.
00:29 Remember, any number divided by itself equals one.
00:35 And there you have it! We've solved the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

12×12+34= \frac{1}{2}\times\frac{1}{2}+\frac{3}{4}=

2

Step-by-step solution

To solve 12×12+34\frac{1}{2} \times \frac{1}{2} + \frac{3}{4}, follow these steps:

  • Step 1: Multiply 12×12\frac{1}{2} \times \frac{1}{2} by using the multiplication of fractions formula:
    12×12=1×12×2=14\frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4}.
  • Step 2: Add 14\frac{1}{4} to 34\frac{3}{4}.
    Since 14\frac{1}{4} and 34\frac{3}{4} already have the same denominator, the addition can be done directly:
    14+34=1+34=44=1\frac{1}{4} + \frac{3}{4} = \frac{1 + 3}{4} = \frac{4}{4} = 1.

Therefore, the correct solution to the expression is 1 1 .

3

Final Answer

1 1

Practice Quiz

Test your knowledge with interactive questions

\( \frac{1}{3}+\frac{1}{4}= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations