Converting 16.7148 to a Fraction
Step-by-step explanation of how to convert 16.7148 to a fraction

Result

16.7148 =
41787
2500
Mixed number:
16
1787
2500

Step 1: Identify the number of decimal places

The decimal 16.7148 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.7148 × 10000 = 167148

Step 3: Write as a fraction

16.7148 =

167148
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 167148 and 10000.

GCD(167148, 10000) = 4

Divide both the numerator and denominator by the GCD:

167148
10000

=

167148 ÷ 4
10000 ÷ 4

=

41787
2500
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