Converting 3.796875 to a Fraction
Step-by-step explanation of how to convert 3.796875 to a fraction

Result

3.796875 =
243
64
Mixed number:
3
51
64

Step 1: Identify the number of decimal places

The decimal 3.796875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.796875 × 1000000 = 3796875

Step 3: Write as a fraction

3.796875 =

3796875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3796875 and 1000000.

GCD(3796875, 1000000) = 15625

Divide both the numerator and denominator by the GCD:

3796875
1000000

=

3796875 ÷ 15625
1000000 ÷ 15625

=

243
64
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