What do I get when I change the fraction 38/8 to a mixed number and reduce to its lowest terms?
Divide:
38 / 8 = 4 6/8 = 4 3/4
8 * 4 = 32
8 * 5 = 40
so it is 4 and some fraction
38 - 32 = 6
so it is
4 6/8
but 6/8 = 3/4
so it is
4 3/4
check
4 * 4 + 3 = 19
19/4 = 38/8 check
To change the fraction 38/8 to a mixed number and reduce it to its lowest terms, follow these steps:
Step 1: Divide the numerator (38) by the denominator (8). This division will give you a quotient and a remainder.
38 ÷ 8 = 4 remainder 6
Step 2: The quotient (4) becomes the whole number in the mixed number, and the remainder (6) becomes the numerator of the fraction part.
So far, the mixed number is 4 and a fraction, given by 4 + 6/8.
Step 3: Reduce the fraction to its lowest terms. To do this, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.
The GCD of 6 and 8 is 2. So, divide both the numerator and denominator of the fraction by 2.
6 ÷ 2 = 3
8 ÷ 2 = 4
The reduced fraction is 3/4.
Combining the whole number part and the reduced fraction, the mixed number is 4 and 3/4.
Therefore, when you change the fraction 38/8 to a mixed number and reduce it to its lowest terms, you get 4 3/4.