Convert Mixed Number 1 11/50 to Decimal: Step-by-Step Solution

Q: Why do I multiply by 2/2 to get 100 in the denominator?

Multiplying by 2/2 changes 50 to 100 because we need a power of 10 in the denominator to easily convert to decimal. Since 50 × 2 = 100, this gives us $ \frac{22}{100} = 0.22 $.

Q: What if the denominator doesn't convert nicely to 100?

You can always use long division! Just divide the numerator by the denominator: 11 ÷ 50 = 0.22. This works for any fraction, even when scaling to 100 isn't easy.

Q: Can I just use a calculator instead of all these steps?

While calculators work, understanding the process helps you check if your answer makes sense! Plus, showing your work gets you full credit on tests.

Q: How do I know if 1.22 is reasonable for 1 and 11/50?

Think about it: $ \frac{11}{50} $ is a bit less than $ \frac{25}{50} = 0.5 $, so the decimal should be between 1.0 and 1.5. Since 1.22 fits this range, it's reasonable!

Q: What's the difference between 1.22 and 1.2?

1.22 means 1 and 22 hundredths, while 1.2 means 1 and 2 tenths (or 20 hundredths). The extra digit matters - 1.22 is slightly larger than 1.2!

Mixed Number Conversions with Decimal Equivalents

$1\frac{11}{50}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's convert the number into a decimal fraction.

00:07 First, break it down into a whole number and a fraction.

00:12 Our goal is to have the denominator become a multiple of ten.

00:17 Multiply both the numerator and the denominator by the same number. This keeps the fraction the same.

00:26 Now, let's convert the fraction into a decimal.

00:36 Add the decimal to the whole number.

00:45 And there you have it! That's the answer to our problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1\frac{11}{50}=$

Step-by-step solution

To find the decimal equivalent of the mixed number $1\frac{11}{50}$ , we need to convert the fractional part into a decimal.

Step 1: Convert the fractional part $\frac{11}{50}$ into a fraction with a denominator of 100. To do this, multiply both the numerator and the denominator by 2:

$\frac{11 \times 2}{50 \times 2} = \frac{22}{100}$

Step 2: Now, convert the fraction $\frac{22}{100}$ into a decimal. Since the fraction has a denominator of 100, it can easily be expressed as a decimal:

$\frac{22}{100} = 0.22$

Step 3: Combine this decimal with the whole number part of the mixed number. The whole number part is 1, so we add 1 and 0.22:

$1 + 0.22 = 1.22$

Therefore, the decimal equivalent of $1\frac{11}{50}$ is $\mathbf{1.22}$ .

Final Answer

$1.22$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractional part to decimal first, then add whole number
Technique: Scale denominator to 100: 11/50 × 2/2 = 22/100 = 0.22
Check: Verify by division: 11 ÷ 50 = 0.22, plus 1 = 1.22 ✓

Common Mistakes

Avoid these frequent errors

Adding numerator directly to whole number
Don't add 1 + 11 = 12 and ignore the denominator = 12.50 instead of 1.22! This completely ignores what the fraction actually represents. Always convert the fractional part to decimal first, then add to the whole number.

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 do I multiply by 2/2 to get 100 in the denominator?

Multiplying by 2/2 changes 50 to 100 because we need a power of 10 in the denominator to easily convert to decimal. Since 50 × 2 = 100, this gives us $\frac{22}{100} = 0.22$ .

What if the denominator doesn't convert nicely to 100?

You can always use long division! Just divide the numerator by the denominator: 11 ÷ 50 = 0.22. This works for any fraction, even when scaling to 100 isn't easy.

Can I just use a calculator instead of all these steps?

While calculators work, understanding the process helps you check if your answer makes sense! Plus, showing your work gets you full credit on tests.

How do I know if 1.22 is reasonable for 1 and 11/50?

Think about it: $\frac{11}{50}$ is a bit less than $\frac{25}{50} = 0.5$ , so the decimal should be between 1.0 and 1.5. Since 1.22 fits this range, it's reasonable!

What's the difference between 1.22 and 1.2?

1.22 means 1 and 22 hundredths, while 1.2 means 1 and 2 tenths (or 20 hundredths). The extra digit matters - 1.22 is slightly larger than 1.2!

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