Converting 16.7638 to a Fraction
Step-by-step explanation of how to convert 16.7638 to a fraction

Result

16.7638 =
83819
5000
Mixed number:
16
3819
5000

Step 1: Identify the number of decimal places

The decimal 16.7638 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.7638 × 10000 = 167638

Step 3: Write as a fraction

16.7638 =

167638
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 167638 and 10000.

GCD(167638, 10000) = 2

Divide both the numerator and denominator by the GCD:

167638
10000

=

167638 ÷ 2
10000 ÷ 2

=

83819
5000
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