4.6 as a Fraction

23/5

How to convert 4.6 to a fraction

4.6 as a fraction in simplest form is 23/5.

  1. Count the decimal places

    4.6 has 1 decimal place. The denominator is 10^1 = 10.

  2. Remove the decimal point

    Move the digits after the decimal into the numerator: 46/10.

  3. Find the greatest common divisor (GCD)

    GCD(46, 10) = 2.

  4. Divide by the GCD to simplify

    46 ÷ 2 = 23 and 10 ÷ 2 = 5, so the simplified fraction is 23/5.

  5. Express as a mixed number

    23 ÷ 5 = 4 with remainder 3, written as 4 3/5.