Converting 3.736875 to a Fraction
Step-by-step explanation of how to convert 3.736875 to a fraction

Result

3.736875 =
5979
1600
Mixed number:
3
1179
1600

Step 1: Identify the number of decimal places

The decimal 3.736875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.736875 × 1000000 = 3736875

Step 3: Write as a fraction

3.736875 =

3736875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3736875 and 1000000.

GCD(3736875, 1000000) = 625

Divide both the numerator and denominator by the GCD:

3736875
1000000

=

3736875 ÷ 625
1000000 ÷ 625

=

5979
1600
Related Conversions
Other decimal to fraction conversions you might find useful