Convert 5.005 to Fraction: Decimal-to-Fraction Transformation

Question

Convert 5.005 into a fraction.

00:00 Convert to a complex fraction

00:03 Convert to a complex fraction

00:06 The denominator depends on the number of digits after the decimal point

00:09 There are 3 digits, so the denominator will be 1000

00:22 Place the digits as a whole number in the numerator

00:28 Break down 5005 into 5000 plus 5

00:40 Break down the fraction into 2 fractions, the whole fraction and remainder

00:51 Reduce what we can

01:01 Combine into a complex fraction

01:08 And this is the solution to the question

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 $\frac{5}{1000}$ . 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 $5\frac{5}{1000}$ .

Thus, the decimal number 5.005 as a mixed number in fraction form is $5\frac{5}{1000}$ .

$5\frac{5}{1000}$