write the number 2.4 in a/b form, using integers

1 answer

To express the number 2.4 in the form of a/b, where a and b are integers, you can follow these steps:

  1. Recognize that 2.4 can be expressed as a fraction.
  2. Rewrite 2.4 as \( \frac{24}{10} \) (since 2.4 is equivalent to 24 tenths).
  3. Simplify the fraction. The greatest common divisor (GCD) of 24 and 10 is 2.

So, dividing both the numerator and the denominator by their GCD gives:

\[ \frac{24 \div 2}{10 \div 2} = \frac{12}{5} \]

Thus, the number 2.4 in a/b form using integers is \( \frac{12}{5} \).