Convert Mixed Number 2⅗ to Decimal: Step-by-Step Solution

Q: What if the fraction doesn't convert to tenths easily?

You can use division instead! Just divide the numerator by the denominator. For example, $ \frac{3}{5} = 3 ÷ 5 = 0.6 $. This works for any fraction.

Q: What's the difference between 2.6 and 26?

The decimal point is crucial! $ 2.6 = 2\frac{6}{10} $ (two and six tenths), while 26 is twenty-six whole units. Always place the decimal point carefully.

Mixed Number Conversion with Decimal Equivalents

$2\frac{3}{5}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Break down into whole number and fraction

00:07 We want to convert from fraction to decimal fraction, so we'll change the denominator to 10

00:11 Make sure to multiply both numerator and denominator

00:20 Convert fraction to decimal fraction

00:37 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

$2\frac{3}{5}=$

Step-by-step solution

To convert the mixed number $2\frac{3}{5}$ into a decimal, we will follow these steps:

Step 1: Express $\frac{3}{5}$ with a denominator of 10. To do this, multiply both the numerator and the denominator by 2, which gives us: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$ .
Step 2: Convert $\frac{6}{10}$ to a decimal. Since $\frac{6}{10}$ corresponds to 0.6 as a decimal, we can now express it in decimal form.
Step 3: Add the whole number portion. We already have the whole number 2 from the mixed number, so combining it with 0.6, we have $2.6$ .

Thus, the decimal representation of $2\frac{3}{5}$ is $2.6$ .

Final Answer

$2.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction part first, then add to whole number
Technique: Multiply numerator and denominator by same factor: $\frac{3}{5} = \frac{6}{10} = 0.6$
Check: Verify that $2 + 0.6 = 2.6$ equals original mixed number ✓

Common Mistakes

Avoid these frequent errors

Converting whole number instead of fraction part
Don't convert the 2 to decimal form = you get confused about which part to work with! The whole number stays as is, only the fraction $\frac{3}{5}$ needs converting. Always convert just the fractional part, then add it 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 we multiply by 2 to get tenths?

We need a denominator of 10 to easily write as a decimal. Since $5 \times 2 = 10$ , we multiply both numerator and denominator by 2: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$ .

What if the fraction doesn't convert to tenths easily?

You can use division instead! Just divide the numerator by the denominator. For example, $\frac{3}{5} = 3 ÷ 5 = 0.6$ . This works for any fraction.

Can I just memorize that 3/5 equals 0.6?

While memorizing common fractions helps with speed, it's better to understand the process. This way you can convert any mixed number, even ones with unusual fractions!

How do I check if 2.6 is really equal to 2⅗?

Convert back! Take the decimal part (0.6) and write it as a fraction: $0.6 = \frac{6}{10} = \frac{3}{5}$ . Then combine: $2 + \frac{3}{5} = 2\frac{3}{5}$ ✓

What's the difference between 2.6 and 26?

The decimal point is crucial! $2.6 = 2\frac{6}{10}$ (two and six tenths), while 26 is twenty-six whole units. Always place the decimal point carefully.

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