Converting 7.70838 to a Fraction
Step-by-step explanation of how to convert 7.70838 to a fraction

Result

7.70838 =
385419
50000
Mixed number:
7
35419
50000

Step 1: Identify the number of decimal places

The decimal 7.70838 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.70838 × 100000 = 770838

Step 3: Write as a fraction

7.70838 =

770838
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 770838 and 100000.

GCD(770838, 100000) = 2

Divide both the numerator and denominator by the GCD:

770838
100000

=

770838 ÷ 2
100000 ÷ 2

=

385419
50000
Related Conversions
Other decimal to fraction conversions you might find useful