7.4 as a Fraction

37/5

How to convert 7.4 to a fraction

7.4 as a fraction in simplest form is 37/5.

  1. Count the decimal places

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

  2. Remove the decimal point

    Move the digits after the decimal into the numerator: 74/10.

  3. Find the greatest common divisor (GCD)

    GCD(74, 10) = 2.

  4. Divide by the GCD to simplify

    74 ÷ 2 = 37 and 10 ÷ 2 = 5, so the simplified fraction is 37/5.

  5. Express as a mixed number

    37 ÷ 5 = 7 with remainder 2, written as 7 2/5.