Converting 4.7311 to a Fraction
Step-by-step explanation of how to convert 4.7311 to a fraction

Result

4.7311 =
47311
10000
Mixed number:
4
7311
10000

Step 1: Identify the number of decimal places

The decimal 4.7311 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7311 × 10000 = 47311

Step 3: Write as a fraction

4.7311 =

47311
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47311 and 10000.

GCD(47311, 10000) = 1

Divide both the numerator and denominator by the GCD:

47311
10000

=

47311 ÷ 1
10000 ÷ 1

=

47311
10000
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