Convert Decimal 4.6 to Its Equivalent Fraction Form

Question

Write 4.6 as a fraction.

00:00 Convert to a simple and reduced fraction

00:03 Place the numbers in equation form

00:07 Move the decimal point right until the number becomes whole and not decimal

00:10 We moved once, therefore the denominator will be 10

00:16 Now reduce as much as possible

00:22 Break down 46 into factors 23 and 2, and 10 into factors 5 and 2

00:25 Reduce what's possible

00:31 And this is the solution to the question

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 $\frac{23}{5}$ .

$\frac{23}{5}$