Explain how knowing that that 5 divided by 8 equals = .625 helps you write the decimal for 4 5/8
4 5/8 = 4 + 0.625 = 4.625
To write the decimal for a mixed number like 4 5/8, you need to add the whole number part to the fractional part. Here's how you can do it:
Step 1: Start with the whole number part of the mixed number, which is 4 in this case.
Step 2: Convert the fractional part (5/8) into decimal form. Knowing that 5 divided by 8 equals 0.625 helps us with this step.
To do this, divide the numerator (5) by the denominator (8):
5 ÷ 8 = 0.625
So, the decimal equivalent of 5/8 is 0.625.
Step 3: Add the whole number part (4) to the decimal form of the fraction (0.625):
4 + 0.625 = 4.625
Therefore, the decimal form for 4 5/8 is 4.625.
Knowing that 5 divided by 8 equals 0.625 allows us to convert the fractional part of the mixed number into decimals, which is necessary to write the overall decimal form of the mixed number.