To express the number 2.4 in the form of a/b, where a and b are integers, you can follow these steps:
- Recognize that 2.4 can be expressed as a fraction.
- Rewrite 2.4 as \( \frac{24}{10} \) (since 2.4 is equivalent to 24 tenths).
- 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 \( \frac{12}{5} \).