7.8 as a Fraction

39/5

How to convert 7.8 to a fraction

7.8 as a fraction in simplest form is 39/5.

  1. Count the decimal places

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

  2. Remove the decimal point

    Move the digits after the decimal into the numerator: 78/10.

  3. Find the greatest common divisor (GCD)

    GCD(78, 10) = 2.

  4. Divide by the GCD to simplify

    78 ÷ 2 = 39 and 10 ÷ 2 = 5, so the simplified fraction is 39/5.

  5. Express as a mixed number

    39 ÷ 5 = 7 with remainder 4, written as 7 4/5.