change fraction 38/8 to a mixed number and reduce to the lowest term

is it 4 3/4

Yes, you're correct!

To change a fraction to a mixed number and reduce it to the lowest terms, follow these steps:

Step 1: Divide the numerator (38) by the denominator (8).
38 ÷ 8 = 4 remainder 6

Step 2: Write down the whole number part (the quotient) followed by the proper fraction.
The whole number part is 4.
The proper fraction is the remainder (6) over the original denominator (8).
Therefore, the mixed number is 4 and 6/8.

Step 3: To reduce the mixed number to the lowest term, find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 6 and 8 is 2.

Step 4: Divide both the numerator and denominator by the GCD.
Numerator (6) ÷ GCD (2) = 3
Denominator (8) ÷ GCD (2) = 4

Step 5: Write down the reduced mixed number.
The reduced mixed number is 4 3/4.

So, your answer is correct. The fraction 38/8 can be written as the mixed number 4 3/4, which is also reduced to its lowest term.