To convert the fraction \( \frac{150}{8} \) into a mixed number, follow these steps:
-
Divide the numerator (150) by the denominator (8) to find the whole number part. \[ 150 \div 8 = 18 \quad \text{(with a remainder)} \]
-
Multiply the whole number part (18) by the denominator (8) and subtract from the numerator (150) to find the remainder. \[ 18 \times 8 = 144 \] \[ 150 - 144 = 6 \]
-
The whole number part is 18, and the remainder over the original denominator gives us the fractional part. \[ \frac{6}{8} \]
-
Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
Now, combine the whole number and the fractional part: \[ 18 \frac{3}{4} \]
Thus, \( \frac{150}{8} \) as a mixed number is \( 18 \frac{3}{4} \).