Converting 16.1774 to a Fraction
Step-by-step explanation of how to convert 16.1774 to a fraction

Result

16.1774 =
80887
5000
Mixed number:
16
887
5000

Step 1: Identify the number of decimal places

The decimal 16.1774 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.1774 × 10000 = 161774

Step 3: Write as a fraction

16.1774 =

161774
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 161774 and 10000.

GCD(161774, 10000) = 2

Divide both the numerator and denominator by the GCD:

161774
10000

=

161774 ÷ 2
10000 ÷ 2

=

80887
5000
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