Converting 3.766875 to a Fraction
Step-by-step explanation of how to convert 3.766875 to a fraction

Result

3.766875 =
6027
1600
Mixed number:
3
1227
1600

Step 1: Identify the number of decimal places

The decimal 3.766875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.766875 × 1000000 = 3766875

Step 3: Write as a fraction

3.766875 =

3766875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3766875 and 1000000.

GCD(3766875, 1000000) = 625

Divide both the numerator and denominator by the GCD:

3766875
1000000

=

3766875 ÷ 625
1000000 ÷ 625

=

6027
1600
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