Converting 47.325 to a Fraction
Step-by-step explanation of how to convert 47.325 to a fraction

Result

47.325 =
1893
40
Mixed number:
47
13
40

Step 1: Identify the number of decimal places

The decimal 47.325 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

47.325 × 1000 = 47325

Step 3: Write as a fraction

47.325 =

47325
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47325 and 1000.

GCD(47325, 1000) = 25

Divide both the numerator and denominator by the GCD:

47325
1000

=

47325 ÷ 25
1000 ÷ 25

=

1893
40
Related Conversions
Other decimal to fraction conversions you might find useful