Converting 0.6318 to a Fraction
Step-by-step explanation of how to convert 0.6318 to a fraction

Result

0.6318 =
3159
5000

Step 1: Identify the number of decimal places

The decimal 0.6318 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.6318 × 10000 = 6318

Step 3: Write as a fraction

0.6318 =

6318
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6318 and 10000.

GCD(6318, 10000) = 2

Divide both the numerator and denominator by the GCD:

6318
10000

=

6318 ÷ 2
10000 ÷ 2

=

3159
5000
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