Convert Decimal 1.543 to Simplified Fraction Form

Question

Convert 1.543 into a fraction.

00:00 Convert to mixed fraction

00:03 Break down the number into whole number and remainder

00:06 Convert the remainder to fraction

00:12 The denominator depends on the number of digits after the decimal point

00:16 There are 3 digits, so the denominator will be 1000

00:25 Place the digits in the numerator as a number

00:30 Combine into a mixed fraction

00:35 And this is the solution to the question

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.

$1\frac{543}{1000}$