Solve the Fraction Problem: 7/10 minus 4/10

Q: Why don't I subtract the denominators too?

The denominator tells you what size pieces you're working with. Since both fractions have pieces of the same size (tenths), you only subtract the number of pieces (numerators).

Q: What if the denominators were different?

You'd need to find a common denominator first! Convert both fractions to have the same denominator, then subtract the numerators just like in this problem.

Q: Do I always need to simplify my answer?

Yes, always check! Look for common factors in the numerator and denominator. In this case, $ \frac{3}{10} $ is already in simplest form since 3 and 10 share no common factors.

Q: Can the answer be zero or negative?

Absolutely! If you subtract $ \frac{4}{10} - \frac{4}{10} = \frac{0}{10} = 0 $, or if the second fraction is larger, you'll get a negative result.

Fraction Subtraction with Same Denominators

Solve the following exercise:

$\frac{7}{10}-\frac{4}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Subtract from the common denominator

00:07 Calculate the numerator

00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$\frac{7}{10}-\frac{4}{10}=\text{?}$

Step-by-step solution

To solve this problem, we need to subtract two fractions with the same denominator. Given the fractions $\frac{7}{10}$ and $\frac{4}{10}$ , we proceed as follows:

Step 1: Identify the numerators and the common denominator.
Step 2: Subtract the numerators. Here, we subtract $4$ from $7$ , resulting in $3$ .
Step 3: Retain the common denominator, which is $10$ .
Step 4: Express the answer as a fraction.

Putting it all together, the operation becomes: $\frac{7}{10} - \frac{4}{10} = \frac{3}{10}$ .

Since the fraction $\frac{3}{10}$ is already in its simplest form, no further simplification is needed.

Therefore, the solution to the problem is $\frac{3}{10}$ .

Final Answer

$\frac{3}{10}$

Key Points to Remember

Essential concepts to master this topic

Rule: When denominators match, subtract only the numerators
Technique: Keep denominator 10, subtract numerators: 7 - 4 = 3
Check: Verify $\frac{3}{10}$ cannot be simplified further ✓

Common Mistakes

Avoid these frequent errors

Subtracting denominators along with numerators
Don't subtract both parts like 7-4 over 10-10 = 3/0! This creates undefined fractions and wrong answers. Always keep the same denominator and subtract only the numerators.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$\frac{3}{2}-\frac{1}{2}=\text{?}$

FAQ

Everything you need to know about this question

Why don't I subtract the denominators too?

The denominator tells you what size pieces you're working with. Since both fractions have pieces of the same size (tenths), you only subtract the number of pieces (numerators).

What if the denominators were different?

You'd need to find a common denominator first! Convert both fractions to have the same denominator, then subtract the numerators just like in this problem.

Do I always need to simplify my answer?

Yes, always check! Look for common factors in the numerator and denominator. In this case, $\frac{3}{10}$ is already in simplest form since 3 and 10 share no common factors.

Can the answer be zero or negative?

Absolutely! If you subtract $\frac{4}{10} - \frac{4}{10} = \frac{0}{10} = 0$ , or if the second fraction is larger, you'll get a negative result.

How can I visualize this problem?

Think of a pizza cut into 10 equal slices. You have 7 slices, eat 4 slices, and you're left with 3 slices out of 10 total pieces!

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