Converting 15.4784 to a Fraction
Step-by-step explanation of how to convert 15.4784 to a fraction

Result

15.4784 =
9674
625
Mixed number:
15
299
625

Step 1: Identify the number of decimal places

The decimal 15.4784 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

15.4784 × 10000 = 154784

Step 3: Write as a fraction

15.4784 =

154784
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 154784 and 10000.

GCD(154784, 10000) = 16

Divide both the numerator and denominator by the GCD:

154784
10000

=

154784 ÷ 16
10000 ÷ 16

=

9674
625
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