To convert the improper fraction 27/8 into a mixed number, follow these steps:
-
First, divide the numerator (27) by the denominator (8). When you perform the division, you get:
27 ÷ 8 = 3 with a remainder. This means that 827 three times.
-
Next, multiply the whole number part of the quotient (3) by the denominator (8):
3 × 8 = 24.
-
Now, subtract this result (24) from the original numerator (27) to find the remainder:
27 – 24 = 3.
-
Now, you can construct your mixed number. The whole number part is 3 and the remainder, which is 3, goes over the original denominator (8):
-
So, your mixed number is 3 3/8.
In summary, 27/8 as a mixed number is 3 3/8.