Convert 3.09 to Complex Fraction: Decimal Transformation Problem

Question

Convert 3.09 to a complex fraction

00:00 Convert to complex fraction

00:03 First we'll convert to fraction

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

00:09 There are 2 digits, so the denominator will be 100

00:13 We'll place the digits as a whole number in the numerator

00:23 We'll break down 309 to 300 and 9

00:31 Break down the fraction into 2 fractions, the whole fraction and the remainder

00:40 We'll reduce what's possible

00:51 We'll combine into a complex fraction

00:57 And that's the solution to the question

To convert the decimal number 3.09 into a complex fraction, let's proceed step-by-step:

Step 1: Separate the whole number and the decimal fraction. Here, we have the whole number $3$ and the decimal fraction $0.09$ .
Step 2: Convert the decimal fraction to a simple fraction. Since the decimal $0.09$ has two decimal places, it is equivalent to $\frac{9}{100}$ .
Step 3: Combine the whole number and the fraction. Now, we express 3.09 as the mixed number $3 \frac{9}{100}$ .

Therefore, the complex fractional representation of 3.09 is $3\frac{9}{100}$ .

$3\frac{9}{100}$