Converting 15.6964 to a Fraction
Step-by-step explanation of how to convert 15.6964 to a fraction

Result

15.6964 =
39241
2500
Mixed number:
15
1741
2500

Step 1: Identify the number of decimal places

The decimal 15.6964 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.6964 × 10000 = 156964

Step 3: Write as a fraction

15.6964 =

156964
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 156964 and 10000.

GCD(156964, 10000) = 4

Divide both the numerator and denominator by the GCD:

156964
10000

=

156964 ÷ 4
10000 ÷ 4

=

39241
2500
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