Convert Decimal 0.708 to Fraction: Step-by-Step Solution

Question

Convert 0.708 into a fraction.

Video Solution

Solution Steps

00:00 Convert to a simple fraction
00:03 Move the decimal point right until the number is whole
00:06 In a decimal fraction, the denominator is necessarily some multiple of 10 by 10
00:11 We moved the point 3 times to the right
00:14 Therefore we'll add three zeros to the denominator
00:18 Place the digits in the numerator
00:21 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will convert 0.708 into a fraction step-by-step:

  • Step 1: Identify the decimal and its place value. Since 0.708 has three decimal places, it is equivalent to having a denominator of 1000.
  • Step 2: Write the decimal as a fraction. Place the number 708 on the numerator and 1000 as the denominator, resulting in 7081000\frac{708}{1000}.

Therefore, the solution to converting 0.708 to a fraction is 7081000 \frac{708}{1000} .

Answer

7081000 \frac{708}{1000}