Converting 16.3775 to a Fraction
Step-by-step explanation of how to convert 16.3775 to a fraction

Result

16.3775 =
6551
400
Mixed number:
16
151
400

Step 1: Identify the number of decimal places

The decimal 16.3775 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.3775 × 10000 = 163775

Step 3: Write as a fraction

16.3775 =

163775
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 163775 and 10000.

GCD(163775, 10000) = 25

Divide both the numerator and denominator by the GCD:

163775
10000

=

163775 ÷ 25
10000 ÷ 25

=

6551
400
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