Converting 47.64 to a Fraction
Step-by-step explanation of how to convert 47.64 to a fraction

Result

47.64 =
1191
25
Mixed number:
47
16
25

Step 1: Identify the number of decimal places

The decimal 47.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

47.64 × 100 = 4764

Step 3: Write as a fraction

47.64 =

4764
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4764 and 100.

GCD(4764, 100) = 4

Divide both the numerator and denominator by the GCD:

4764
100

=

4764 ÷ 4
100 ÷ 4

=

1191
25
Related Conversions
Other decimal to fraction conversions you might find useful