Write 1.5 as a mixed number and as an improper fraction.

Write your answers in simplest form.

1 answer

To convert 1.5 to a mixed number and an improper fraction, follow these steps:

Mixed Number:

  1. The whole number part is 1.
  2. The decimal part 0.5 can be converted to a fraction. Since 0.5 is equal to \( \frac{1}{2} \), we can write: \[ 1.5 = 1 \frac{1}{2} \]

Improper Fraction:

  1. To convert the mixed number \( 1 \frac{1}{2} \) to an improper fraction:
    • Multiply the whole number (1) by the denominator (2): \( 1 \times 2 = 2 \).
    • Add the numerator (1): \( 2 + 1 = 3 \).
    • This gives us the improper fraction \( \frac{3}{2} \).

Thus, in simplest form:

  • Mixed number: \( 1 \frac{1}{2} \)
  • Improper fraction: \( \frac{3}{2} \)