Converting 3.5675 to a Fraction
Step-by-step explanation of how to convert 3.5675 to a fraction

Result

3.5675 =
1427
400
Mixed number:
3
227
400

Step 1: Identify the number of decimal places

The decimal 3.5675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.5675 × 10000 = 35675

Step 3: Write as a fraction

3.5675 =

35675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35675 and 10000.

GCD(35675, 10000) = 25

Divide both the numerator and denominator by the GCD:

35675
10000

=

35675 ÷ 25
10000 ÷ 25

=

1427
400
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