Simplify 5/50 to a Fraction with Denominator 10: Step-by-Step

Q: Can I multiply instead of divide to change the denominator?

Yes! If you need a larger denominator, multiply both parts by the same number. For example: $ \frac{1}{2} = \frac{5}{10} $ by multiplying by 5.

Q: How can I check if my simplified fraction is correct?

Cross-multiply to verify: if $ \frac{a}{b} = \frac{c}{d} $, then a×d should equal b×c. For our example: 5×10 = 50×1 = 50 ✓

Q: Why is this called 'simplifying' if I'm changing the denominator?

Equivalent fractions represent the same value in different forms. You're finding the equivalent fraction with denominator 10, which is often simpler to work with than 50.

Fraction Simplification with Specific Denominators

Simplify the fraction below to the denominator 10:

$\frac{5}{50}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Reduce the fraction to denominator 10

00:03 Let's reduce the fraction with the appropriate divisor so the denominator equals 10

00:07 Make sure to divide both numerator and denominator

00:10 Let's calculate the quotients

00:13 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

Simplify the fraction below to the denominator 10:

$\frac{5}{50}$

Step-by-step solution

First look at the denominator of the fraction. Try to find a number that, when divided by 50, gives you a result of 10:

$\frac{5:5}{50:5}=\frac{1}{10}$

Final Answer

$\frac{1}{10}$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide both numerator and denominator by same number
Technique: Find what divides 50 to get 10: 50 ÷ 5 = 10
Check: Verify $\frac{1}{10}$ equals $\frac{5}{50}$ by cross-multiplying: 1×50 = 5×10 ✓

Common Mistakes

Avoid these frequent errors

Changing only the denominator without adjusting the numerator
Don't just change 50 to 10 and keep the numerator as 5 = $\frac{5}{10}$ which is wrong! This creates a completely different fraction with a different value. Always divide both the numerator and denominator by the same number.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know what number to divide by?

Look at what you need to divide the current denominator by to get your target denominator. Since 50 ÷ 5 = 10, you divide both the numerator and denominator by 5.

What if the fraction doesn't simplify evenly to the target denominator?

If a fraction cannot be simplified to have a specific denominator, it means they aren't equivalent fractions. Check if you can find a common factor that works.

Can I multiply instead of divide to change the denominator?

Yes! If you need a larger denominator, multiply both parts by the same number. For example: $\frac{1}{2} = \frac{5}{10}$ by multiplying by 5.

How can I check if my simplified fraction is correct?

Cross-multiply to verify: if $\frac{a}{b} = \frac{c}{d}$ , then a×d should equal b×c. For our example: 5×10 = 50×1 = 50 ✓

Why is this called 'simplifying' if I'm changing the denominator?

Equivalent fractions represent the same value in different forms. You're finding the equivalent fraction with denominator 10, which is often simpler to work with than 50.

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