Convert Decimal to Fraction: Transforming 56.043 into Rational Form

Question

Convert 56.043 into a fraction.

Video Solution

Solution Steps

00:00 Convert to a complex fraction
00:03 Break down the number into whole number and remainder
00:14 Convert the remainder to a fraction
00:18 The denominator depends on the number of digits after the decimal point
00:21 There are 3 digits, so the denominator will be 1000
00:28 Place the digits in the numerator as a number
00:32 Combine into a complex fraction
00:37 And this is the solution to the question

Step-by-Step Solution

To convert the decimal number 56.04356.043 into a fraction, we'll follow these steps:

  • Step 1: Isolate the integer and fractional parts of the number.
  • Step 2: Convert the fractional part to a fraction.
  • Step 3: Combine the integer and fractional parts into a mixed number.

Let's proceed through these steps:

Step 1: Identify the integer part as 5656 and the decimal part as 0.0430.043.

Step 2: Convert 0.0430.043 to a fraction. Since 0.0430.043 has three digits after the decimal, this suggests thousandths: 0.043=431000 0.043 = \frac{43}{1000}

Step 3: Combine the integer 5656 with the fractional part: 56+431000=56431000 56 + \frac{43}{1000} = 56\frac{43}{1000}

Therefore, the solution to the problem is 56431000 56\frac{43}{1000} .

Answer

56431000 56\frac{43}{1000}