Convert Mixed Number: Finding the Equivalent Form of 1.35

Q: Why is the denominator 100 so helpful here?

When the denominator is 100, converting to decimal is super easy! Just move the numerator two decimal places to the right: $ \frac{35}{100} $ becomes 0.35.

Q: What if the denominator wasn't 100?

You'd need to divide the numerator by the denominator. For example, $ \frac{3}{4} $ = 3 ÷ 4 = 0.75. Then add this to your whole number!

Q: Can I simplify the fraction first?

You could simplify $ \frac{35}{100} $ to $ \frac{7}{20} $, but it's actually easier to work with 100 as the denominator since it converts directly to decimal form!

Q: What's the difference between 1.35 and 1.3?

1.35 has a 5 in the hundredths place, while 1.3 has a 0 in the hundredths place (we just don't write it). So 1.35 is larger than 1.3 by five hundredths!

Mixed Numbers with Decimal Conversion

$1\frac{35}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's convert the number into a decimal fraction.

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

00:12 Now, change that fraction part into a decimal.

00:24 Great! Add these up to retain the original number.

00:32 And there you have it, that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1\frac{35}{100}=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify and separate the whole number part from the fractional part.
Step 2: Convert the fraction $\frac{35}{100}$ directly into a decimal.
Step 3: Combine the results to get the final decimal form.

Now, let's work through each step:
Step 1: The given expression is $1\frac{35}{100}$ . The whole number part is 1, and the fraction part is $\frac{35}{100}$ .
Step 2: Convert $\frac{35}{100}$ to decimal. Since the denominator is 100, the decimal form is simply 0.35.
Step 3: Add the whole number 1 to the decimal 0.35, obtaining 1 + 0.35 = 1.35.

Therefore, the solution to the problem is $1.35$ .

Final Answer

$\text{1}.35$

Key Points to Remember

Essential concepts to master this topic

Rule: Mixed numbers equal whole number plus fractional part
Technique: Convert $\frac{35}{100}$ to 0.35 by dividing
Check: Verify 1 + 0.35 = 1.35 matches the mixed number ✓

Common Mistakes

Avoid these frequent errors

Treating the fraction as a whole number
Don't write $1\frac{35}{100}$ as 135 = wrong place value! This ignores the fractional bar and creates a number 100 times too large. Always convert the fraction to decimal first, then add to the whole number.

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why is the denominator 100 so helpful here?

When the denominator is 100, converting to decimal is super easy! Just move the numerator two decimal places to the right: $\frac{35}{100}$ becomes 0.35.

What if the denominator wasn't 100?

You'd need to divide the numerator by the denominator. For example, $\frac{3}{4}$ = 3 ÷ 4 = 0.75. Then add this to your whole number!

How do I know I'm adding correctly?

Line up the decimal points! Write it as 1.00 + 0.35 = 1.35. This helps you see that you're adding tenths to tenths and hundredths to hundredths.

Can I simplify the fraction first?

You could simplify $\frac{35}{100}$ to $\frac{7}{20}$ , but it's actually easier to work with 100 as the denominator since it converts directly to decimal form!

What's the difference between 1.35 and 1.3?

1.35 has a 5 in the hundredths place, while 1.3 has a 0 in the hundredths place (we just don't write it). So 1.35 is larger than 1.3 by five hundredths!

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