Solve the Fraction Equation: Finding the Missing Term in 4/5 - ? = 3/5

Fraction Subtraction with Same Denominators

Complete the missing fraction:
45——=35 \frac{4}{5}-_{——}=\frac{3}{5}

What is the missing fraction?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the missing fraction
00:03 Since the result's denominator is identical to the fraction, then the unknown's denominator is also identical
00:07 Now let's calculate according to the numerators
00:10 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

Complete the missing fraction:
45——=35 \frac{4}{5}-_{——}=\frac{3}{5}

What is the missing fraction?

2

Step-by-step solution

To solve this problem, we need to determine the missing fraction in the equation 45_=35 \frac{4}{5} - \_ = \frac{3}{5} .

Since both fractions have the same denominator, we can focus solely on subtracting the numerators, as the denominators remain unchanged.

The numerators are 44 and 33. To find the missing fraction, calculate the difference between the numerators:

  • Step 1: Subtract the numerators: 43=14 - 3 = 1.
  • Step 2: The common denominator remains 55.
  • Step 3: Thus, the missing fraction is 15\frac{1}{5}.

Therefore, the missing fraction in the equation is 15\frac{1}{5}.

Comparing with the options provided, the correct choice is option 2: 15\frac{1}{5}.

Therefore, the solution to the problem is 15\frac{1}{5}.

3

Final Answer

15 \frac{1}{5}

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominators match, subtract only the numerators directly
  • Technique: Rearrange to solve: 4535=15 \frac{4}{5} - \frac{3}{5} = \frac{1}{5}
  • Check: Verify by substituting: 4515=35 \frac{4}{5} - \frac{1}{5} = \frac{3}{5}

Common Mistakes

Avoid these frequent errors
  • Subtracting denominators along with numerators
    Don't subtract both parts like 4/5 - 3/5 = 1/0! This creates undefined fractions and wrong answers. Always keep the common denominator unchanged and only subtract the numerators.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why don't we subtract the denominators too?

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The denominator tells us what type of pieces we're working with (fifths in this case). Since we're working with the same type of pieces, the denominator stays 5 5 throughout!

How do I solve for the missing fraction?

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Think of it as working backwards! If 45?=35 \frac{4}{5} - ? = \frac{3}{5} , then ?=4535=15 ? = \frac{4}{5} - \frac{3}{5} = \frac{1}{5} .

What if the denominators were different?

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Then you'd need to find a common denominator first! But in this problem, both fractions already have the same denominator 5 5 , making it much easier.

Can I convert these to decimals instead?

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You could, but it's not necessary here! Since the denominators match, working with fractions is actually simpler and gives you the exact answer without rounding.

How do I check my answer is correct?

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Substitute your answer back: 4515=35 \frac{4}{5} - \frac{1}{5} = \frac{3}{5} . If both sides are equal, you've got it right!

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