Explain how knowing that 5 divided by 8 = 0.625 helps you the decimal for 4 5/8.

4 5/8 = 4 + 5/8

Explain how knowing that 5 divided by 8 = 0.625 helps you write the decimal for 4 5/8

Knowing that 5 divided by 8 equals 0.625 is helpful in finding the decimal for 4 5/8 because we can break down the given mixed number into two parts: the whole number part (4) and the fraction part (5/8).

To find the decimal equivalent of a fraction, divide the numerator (the number on top) by the denominator (the number on the bottom). In this case, divide 5 by 8. Since we already know that 5 divided by 8 equals 0.625, we can see that the decimal equivalent for the fraction 5/8 is 0.625.

Now, let's combine the whole number part and the fraction part. We have the whole number 4 and the fraction 5/8, which we already know equals 0.625. To find the decimal for 4 5/8, we add the decimal equivalent of the whole number part (4) to the fraction part (5/8).

The decimal equivalent for the whole number 4 is simply 4. So, by adding 4 to 0.625, we get the final answer.

4 + 0.625 = 4.625

Therefore, the decimal for 4 5/8 is 4.625.