Convert Decimal 1.543 to Simplified Fraction Form

Question

Convert 1.543 into a fraction.

00:03 Let's change the decimal into a mixed fraction.

00:07 First, split the number into a whole number and a remainder.

00:11 Next, let's convert that remainder into a fraction.

00:15 Remember, the denominator is based on how many digits follow the decimal.

00:21 Here, we have three digits, so the denominator is one thousand.

00:28 Place those digits in the numerator as a single number.

00:33 Now, combine them together into a mixed fraction.

00:38 And there you have it! That's how you solve the problem.

To convert the decimal 1.543 into a fraction, we'll proceed with the following steps:

Step 1: Identify the fractional part of the number. Here, the number is 1.543, where 1 is the whole number and 0.543 is the decimal part.
Step 2: Convert the decimal part to a fraction. The decimal 0.543 can be expressed as $\frac{543}{1000}$ because it is equivalent to 543 thousandths.
Step 3: Combine the whole number with the fractional part to express the entire decimal as a mixed number. Thus, 1.543 becomes $1\frac{543}{1000}$ .

Therefore, the decimal 1.543 is equivalent to $1\frac{543}{1000}$ as a fraction.

$1\frac{543}{1000}$