Converting 15.5824 to a Fraction
Step-by-step explanation of how to convert 15.5824 to a fraction

Result

15.5824 =
9739
625
Mixed number:
15
364
625

Step 1: Identify the number of decimal places

The decimal 15.5824 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.5824 × 10000 = 155824

Step 3: Write as a fraction

15.5824 =

155824
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 155824 and 10000.

GCD(155824, 10000) = 16

Divide both the numerator and denominator by the GCD:

155824
10000

=

155824 ÷ 16
10000 ÷ 16

=

9739
625
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