Convert 5.005 into a fraction.
We have hundreds of course questions with personalized recommendations + Account 100% premium
Convert 5.005 into a fraction.
To convert the decimal number 5.005 into a fraction, we follow these steps:
Step 1: Identify the whole number and the decimal part.
The given number is 5.005, where 5 is the whole number, and 0.005 is the decimal part.
Step 2: Convert the decimal part to a fraction.
The decimal 0.005 can be expressed as the fraction . This is because 0.005 is equivalent to 5 thousandths.
Step 3: Combine the whole number and the decimal fraction.
The combined mixed number is .
Thus, the decimal number 5.005 as a mixed number in fraction form is .
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Look at the rightmost digit's place value! In 5.005, the last 5 is in the thousandths place, so use 1000 as your denominator. The decimal 0.005 becomes .
Because equals 5.05, not 5.005! The extra zero in 5.005 puts the 5 in the thousandths place, not hundredths.
Yes, if possible! can be simplified by dividing both numerator and denominator by their GCD of 5, giving .
The same rule applies! Count the decimal places to find your denominator: 1 place = 10, 2 places = 100, 3 places = 1000, and so on.
Convert your mixed number back to a decimal by dividing: ✓
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