Converting 3.1624 to a Fraction
Step-by-step explanation of how to convert 3.1624 to a fraction

Result

3.1624 =
3953
1250
Mixed number:
3
203
1250

Step 1: Identify the number of decimal places

The decimal 3.1624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1624 × 10000 = 31624

Step 3: Write as a fraction

3.1624 =

31624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31624 and 10000.

GCD(31624, 10000) = 8

Divide both the numerator and denominator by the GCD:

31624
10000

=

31624 ÷ 8
10000 ÷ 8

=

3953
1250
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