grandma trying to help my grandson in 5th grade math...question/"explain how knowing that 5 divided 8=0.625 helps you write the decimal for 4 5/8?
It is because the composite fraction is the sum of the whole number 4 and the of fraction that is 5 divided by 8.
4 5/8 = 4 + (5/8)
= 4 + (0.625)
= 4.625
To find the decimal equivalent of a fraction, divide the numerator by the denominator.
To write the decimal for 4 5/8, we can break it down into two parts: the whole number part (4) and the fractional part (5/8).
First, let's convert the whole number part, which is 4, into a decimal. The decimal representation of any whole number is simply the number itself with a decimal point at the end. So, 4 becomes 4.0.
Now, let's focus on the fractional part, which is 5/8. To convert a fraction to a decimal, we need to divide the numerator (the top number) by the denominator (the bottom number). In this case, 5 divided by 8.
Here's where knowing that 5 divided by 8 equals 0.625 comes into play. By performing this division, we find that the decimal equivalent of 5/8 is 0.625.
Now, we can combine the decimal versions of the whole number and the fractional part. Therefore, 4 5/8 can be expressed as 4.625.
In summary, knowing that 5 divided by 8 equals 0.625 allows us to convert the fraction 5/8 into its decimal form, which is essential in writing the decimal representation for the mixed number 4 5/8.