Converting 4.642 to a Fraction
Step-by-step explanation of how to convert 4.642 to a fraction

Result

4.642 =
2321
500
Mixed number:
4
321
500

Step 1: Identify the number of decimal places

The decimal 4.642 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.642 × 1000 = 4642

Step 3: Write as a fraction

4.642 =

4642
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4642 and 1000.

GCD(4642, 1000) = 2

Divide both the numerator and denominator by the GCD:

4642
1000

=

4642 ÷ 2
1000 ÷ 2

=

2321
500
Related Conversions
Other decimal to fraction conversions you might find useful