Convert Decimal 0.079 to Fraction Form: Step-by-Step Solution

Decimal Conversion with Three-Digit Precision

Convert into fraction form:

0.079= 0.079=

❤️ 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 fraction
00:03 First, we'll match the digit positions to the appropriate division
00:07 Add 0 to the fraction
00:10 Place the digits after the decimal point in the numerator
00:14 And the last digit position in the denominator
00:18 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

Convert into fraction form:

0.079= 0.079=

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00791000 \frac{0079}{1000}

We'll then proceed to remove the unnecessary zeros as follows:

791000 \frac{79}{1000}

3

Final Answer

791000 \frac{79}{1000}

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Count decimal places to determine denominator power
  • Technique: Three places means divide by 1000: 791000 \frac{79}{1000}
  • Check: Verify 791000=0.079 \frac{79}{1000} = 0.079 by dividing 79 ÷ 1000 ✓

Common Mistakes

Avoid these frequent errors
  • Including leading zeros in numerator
    Don't write 00791000 \frac{0079}{1000} in your final answer = unnecessary zeros! Leading zeros don't change the value but make fractions look incorrect. Always remove leading zeros from the numerator to get 791000 \frac{79}{1000} .

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

How do I know what denominator to use?

+

Count the number of decimal places after the decimal point!

  • 1 place = denominator 10
  • 2 places = denominator 100
  • 3 places = denominator 1000
Since 0.079 has 3 places, use 1000.

Why can't I simplify 791000 \frac{79}{1000} further?

+

To simplify a fraction, both numerator and denominator must share a common factor. Since 79 is prime and doesn't divide evenly into 1000, this fraction is already in lowest terms!

What if I wrote 0701000 \frac{070}{1000} instead?

+

This gives the wrong value! 0701000=701000=0.070 \frac{070}{1000} = \frac{70}{1000} = 0.070 , not 0.079. Always write exactly what you see: 79 goes in the numerator.

How can I check my answer is correct?

+

Divide the numerator by denominator: 79 ÷ 1000 = 0.079. If this matches your original decimal, you've got it right!

Do I always need to remove leading zeros?

+

Yes! Leading zeros in the numerator are mathematically unnecessary and make your answer look incorrect. 0791000 \frac{079}{1000} should always be written as 791000 \frac{79}{1000} .

🌟 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