Understanding Decimal Representation of Fractions for Beginners

To convert the mixed number 7 617/1,000 into a decimal, follow these steps:

1. First, identify the whole number and the fractional part. In this case, 7 is the whole number and 617/1,000 is the fraction.
2. Next, convert the fractional part into a decimal. To do this, divide the numerator by the denominator: 617 ÷ 1,000.
3. Carrying out the division gives:
• 617 divided by 1,000 is 0.617.
4. Now, combine the whole number with the decimal. Add 7 to 0.617:
• 7 + 0.617 = 7.617.
5. Therefore, the fraction 7 617/1,000 as a decimal is 7.617.

In summary, 7 617/1,000 = 7.617.