Converting 7.8745 to a Fraction
Step-by-step explanation of how to convert 7.8745 to a fraction

Result

7.8745 =
15749
2000
Mixed number:
7
1749
2000

Step 1: Identify the number of decimal places

The decimal 7.8745 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.8745 × 10000 = 78745

Step 3: Write as a fraction

7.8745 =

78745
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 78745 and 10000.

GCD(78745, 10000) = 5

Divide both the numerator and denominator by the GCD:

78745
10000

=

78745 ÷ 5
10000 ÷ 5

=

15749
2000
Related Conversions
Other decimal to fraction conversions you might find useful