Converting 3.76832 to a Fraction
Step-by-step explanation of how to convert 3.76832 to a fraction

Result

3.76832 =
11776
3125
Mixed number:
3
2401
3125

Step 1: Identify the number of decimal places

The decimal 3.76832 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.76832 × 100000 = 376832

Step 3: Write as a fraction

3.76832 =

376832
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 376832 and 100000.

GCD(376832, 100000) = 32

Divide both the numerator and denominator by the GCD:

376832
100000

=

376832 ÷ 32
100000 ÷ 32

=

11776
3125
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