Certainly! Let's change the decimal 1.4 to a fraction step-by-step.
1. Identify the decimal part: Start with the decimal 1.4.
2. Express the decimal as a fraction: Recall that 1.4 can be written as the fraction [tex]\(\frac{14}{10}\)[/tex]. This is because moving the decimal point one place to the right in 1.4 gives us 14, and we compensate by placing the decimal over 10 (since 10 is 10^1, which corresponds to one decimal place).
3. Simplify the fraction: The fraction [tex]\(\frac{14}{10}\)[/tex] can be simplified by finding the greatest common divisor (GCD) of 14 and 10. The GCD of 14 and 10 is 2.
4. Divide the numerator and the denominator by the GCD:
- Divide the numerator (14) by 2: [tex]\(14 ÷ 2 = 7\)[/tex]
- Divide the denominator (10) by 2: [tex]\(10 ÷ 2 = 5\)[/tex]
5. Write the simplified fraction: After simplifying, we get [tex]\(\frac{7}{5}\)[/tex].
Therefore, the decimal 1.4 can be expressed as the fraction [tex]\(\frac{7}{5}\)[/tex].
