Convert Decimal 4.6 to Its Equivalent Fraction Form

To write the decimal 4.6 as a fraction, follow these steps:

• Step 1: Recognize that 4.6 can be written as $\frac{4.6}{1}$.
• Step 2: Multiply both the numerator and the denominator by 10 to eliminate the decimal. This gives you $\frac{46}{10}$.
• Step 3: Simplify the fraction $\frac{46}{10}$ by finding the greatest common divisor (GCD) of 46 and 10, which is 2. Divide both the numerator and the denominator by 2.
• Step 4: Perform the division to simplify: $\frac{46 \div 2}{10 \div 2} = \frac{23}{5}$.

Thus, the decimal 4.6 expressed as a fraction in its simplest form is $\frac{23}{5}$.