Converting 17.7488 to a Fraction
Step-by-step explanation of how to convert 17.7488 to a fraction

Result

17.7488 =
11093
625
Mixed number:
17
468
625

Step 1: Identify the number of decimal places

The decimal 17.7488 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

17.7488 × 10000 = 177488

Step 3: Write as a fraction

17.7488 =

177488
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 177488 and 10000.

GCD(177488, 10000) = 16

Divide both the numerator and denominator by the GCD:

177488
10000

=

177488 ÷ 16
10000 ÷ 16

=

11093
625
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