Explain how knowing that 5/8 =.625 helps you write the decimal for decimal for 4 5/8?

Add 4.

Knowing that 5/8 equals 0.625 is helpful in writing the decimal for 4 5/8 because we can break down the mixed number into its whole number and fractional parts and then convert the fractional part to a decimal.

To begin, we take the whole number part, which is 4, and write it down as it is.

Next, we focus on the fractional part, which is 5/8. To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number). In this case, we divide 5 by 8.

5 รท 8 = 0.625

So, knowing that 5/8 equals 0.625, we write the decimal for 4 5/8 as 4.625.