Converting 5.1175 to a Fraction
Step-by-step explanation of how to convert 5.1175 to a fraction

Result

5.1175 =
2047
400
Mixed number:
5
47
400

Step 1: Identify the number of decimal places

The decimal 5.1175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1175 × 10000 = 51175

Step 3: Write as a fraction

5.1175 =

51175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51175 and 10000.

GCD(51175, 10000) = 25

Divide both the numerator and denominator by the GCD:

51175
10000

=

51175 ÷ 25
10000 ÷ 25

=

2047
400
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