Solve the Division Problem: 10/5 Step-by-Step

Q: Why do I divide 10 by 5 and not 5 by 10?

In fractions, we always divide the numerator (top number) by the denominator (bottom number). Think of it as: "How many groups of 5 can I make from 10?" The answer is 2 groups!

Q: What's the difference between 10/5 and 5/10?

$ \frac{10}{5} = 2 $ while $ \frac{5}{10} = \frac{1}{2} = 0.5 $. These are reciprocals of each other - completely different answers!

Q: Can I always simplify fractions like this?

Yes! Find the largest number that divides both the top and bottom evenly (called the GCF), then divide both by that number. This makes the fraction simpler to work with.

Q: How do I know when a fraction equals a whole number?

A fraction equals a whole number when the numerator is divisible by the denominator with no remainder. Like 10÷5 = 2 exactly, or 12÷3 = 4 exactly.

Q: What if the numbers don't divide evenly?

Then you'll get a mixed number or decimal. For example, $ \frac{7}{3} = 2\frac{1}{3} $ or approximately 2.33. That's perfectly normal!

Basic Division with Simple Fractions

Solve the following expression:

$\frac{10}{5}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$\frac{10}{5}=$

Step-by-step solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 5.

Then we will divide the fraction as follows:

$\frac{10:5}{5:5}=\frac{2}{1}=2$

Final Answer

$2$

Key Points to Remember

Essential concepts to master this topic

Rule: Division means how many times the denominator fits into numerator
Technique: Simplify by dividing both numbers by their GCF: 10÷5 and 5÷5
Check: Multiply answer by denominator: 2 × 5 = 10 ✓

Common Mistakes

Avoid these frequent errors

Dividing denominator by numerator instead
Don't calculate 5÷10 = 0.5! This flips the fraction and gives the reciprocal instead of the correct quotient. Always divide the numerator (top) by the denominator (bottom): 10÷5 = 2.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why do I divide 10 by 5 and not 5 by 10?

In fractions, we always divide the numerator (top number) by the denominator (bottom number). Think of it as: "How many groups of 5 can I make from 10?" The answer is 2 groups!

What's the difference between 10/5 and 5/10?

$\frac{10}{5} = 2$ while $\frac{5}{10} = \frac{1}{2} = 0.5$ . These are reciprocals of each other - completely different answers!

Can I always simplify fractions like this?

Yes! Find the largest number that divides both the top and bottom evenly (called the GCF), then divide both by that number. This makes the fraction simpler to work with.

How do I know when a fraction equals a whole number?

A fraction equals a whole number when the numerator is divisible by the denominator with no remainder. Like 10÷5 = 2 exactly, or 12÷3 = 4 exactly.

What if the numbers don't divide evenly?

Then you'll get a mixed number or decimal. For example, $\frac{7}{3} = 2\frac{1}{3}$ or approximately 2.33. That's perfectly normal!

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