Complete the Decimal Expression: 2.4 = ?

2.4= 2.4=

❤️ 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 mixed fraction
00:03 Break down the number into whole number and remainder
00:08 Convert the remainder to a fraction
00:17 Reduce the fraction, make sure to divide both numerator and denominator
00:26 Add to mixed fraction
00:30 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2.4= 2.4=

2

Step-by-step solution

To convert the decimal 2.42.4 into a mixed number, we'll follow these steps:

  • Step 1: Convert the decimal part 0.40.4 into a fraction.
  • Step 2: Simplify the fraction.
  • Step 3: Combine with the whole number.

Let's work through each step:
Step 1: Recognize that 0.40.4 means 410\frac{4}{10} because there is one digit after the decimal point, placing it into tenths.
Step 2: Simplify 410\frac{4}{10} by dividing both the numerator and denominator by their GCD, which is 2. This gives us 25\frac{2}{5}.
Step 3: Combine the whole number 22 with the fraction 25\frac{2}{5} to form the mixed number 2252\frac{2}{5}.

Therefore, the conversion of 2.42.4 to a mixed number is 225 2\frac{2}{5} .

3

Final Answer

225 2\frac{2}{5}

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations