I determined that 5 divided by 8 equals 0.625; however, I cannot determine how the book arrived at 0.625 equaling the fraction 4 5/8. My conversion of 0.625 is fraction 5/8.
.625 does not equal 4 5/8, 4 5/8 equals 4.625
To understand how 0.625 can be equal to the fraction 4 5/8, let's break down the process step by step:
1. Start by converting the decimal part, 0.625, to a fraction. To do this, we consider the decimal places. Since there are three decimal places after the decimal point (625), we write the fraction with 1000 as the denominator: 625/1000.
2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 625 and 1000 is 125. So, dividing both numerator and denominator by 125 gives us 5/8.
3. Now, to arrive at the mixed fraction 4 5/8, we need to add a whole number part. Since the simplified fraction is 5/8, we note that it occupies 5 out of the 8 parts. So, we can split it into 1 whole part and 5/8, which gives us the mixed fraction 1 5/8.
4. Finally, we need to add the additional whole number part. In this case, the book must have started with the mixed fraction 1 5/8 and added 3 more whole parts, resulting in the final fraction 4 5/8.
In conclusion, 0.625 is equivalent to the fraction 4 5/8. It is important to note that the conversion from a decimal to a fraction may vary depending on the context.