Convert Fraction to Decimal: Solving 22/20 Step by Step

Q: Why should I simplify the fraction first?

Simplifying makes the division much easier! $ \frac{22}{20} $ becomes $ \frac{11}{10} $, and 11 ÷ 10 is simple mental math compared to 22 ÷ 20.

Q: What if the denominator doesn't divide evenly?

That's when you get repeating decimals! For example, $ \frac{1}{3} = 0.333... $. Just calculate until you see the pattern repeat.

Q: Can I use a calculator instead of simplifying?

You can, but understanding the steps helps you recognize patterns and work faster on tests where calculators might not be allowed!

Fraction to Decimal with Simplification Steps

Convert $\frac{22}{20}$ into a decimal.

❤️ 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

00:00 Convert to decimal fraction

00:03 We want a denominator that's a multiple of 10 and 10

00:09 Therefore we'll expand the fraction, making sure to multiply both numerator and denominator

00:22 Convert to decimal fraction

00:27 We'll place the numerator as a whole number

00:32 When the denominator equals 100

00:35 Move the decimal point 2 places to the left

00:38 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

Convert $\frac{22}{20}$ into a decimal.

Step-by-step solution

To convert the fraction $\frac{22}{20}$ into a decimal, we will perform the following steps:

Step 1: Simplify the fraction.
The fraction $\frac{22}{20}$ can be simplified by dividing both the numerator and the denominator by 2, the greatest common divisor.
This results in $\frac{11}{10}$ .
Step 2: Convert the simplified fraction to a decimal.
Since $\frac{11}{10}$ is the same as 11 divided by 10, we calculate $11 \div 10 = 1.1$ .

Therefore, the decimal form of $\frac{22}{20}$ is $1.1$ .

Based on the provided answer choices, the correct choice is 1.1 (Choice 1).

The solution to the problem is $1.1$ .

Final Answer

1.1

Key Points to Remember

Essential concepts to master this topic

Simplification: Find GCD of numerator and denominator first
Division: Convert $\frac{11}{10}$ to 11 ÷ 10 = 1.1
Check: Verify 1.1 × 20 = 22 matches original numerator ✓

Common Mistakes

Avoid these frequent errors

Skipping simplification and dividing 22 ÷ 20 directly
Don't divide 22 ÷ 20 without simplifying = harder long division with decimals! This makes calculations more complex and increases error chances. Always simplify the fraction first by finding the GCD.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why should I simplify the fraction first?

Simplifying makes the division much easier! $\frac{22}{20}$ becomes $\frac{11}{10}$ , and 11 ÷ 10 is simple mental math compared to 22 ÷ 20.

How do I find the greatest common divisor (GCD)?

List the factors of both numbers. For 22: 1, 2, 11, 22. For 20: 1, 2, 4, 5, 10, 20. The largest common factor is 2, so divide both by 2.

What if the denominator doesn't divide evenly?

That's when you get repeating decimals! For example, $\frac{1}{3} = 0.333...$ . Just calculate until you see the pattern repeat.

Can I use a calculator instead of simplifying?

You can, but understanding the steps helps you recognize patterns and work faster on tests where calculators might not be allowed!

How do I know if my decimal answer is correct?

Convert back to check! Multiply your decimal by the original denominator: 1.1 × 20 = 22. This should equal the original numerator.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic 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