Converting 15.4316 to a Fraction
Step-by-step explanation of how to convert 15.4316 to a fraction

Result

15.4316 =
38579
2500
Mixed number:
15
1079
2500

Step 1: Identify the number of decimal places

The decimal 15.4316 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.4316 × 10000 = 154316

Step 3: Write as a fraction

15.4316 =

154316
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 154316 and 10000.

GCD(154316, 10000) = 4

Divide both the numerator and denominator by the GCD:

154316
10000

=

154316 ÷ 4
10000 ÷ 4

=

38579
2500
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