Converting 4.745 to a Fraction
Step-by-step explanation of how to convert 4.745 to a fraction

Result

4.745 =
949
200
Mixed number:
4
149
200

Step 1: Identify the number of decimal places

The decimal 4.745 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.745 × 1000 = 4745

Step 3: Write as a fraction

4.745 =

4745
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4745 and 1000.

GCD(4745, 1000) = 5

Divide both the numerator and denominator by the GCD:

4745
1000

=

4745 ÷ 5
1000 ÷ 5

=

949
200
Related Conversions
Other decimal to fraction conversions you might find useful