Converting 4.7148 to a Fraction
Step-by-step explanation of how to convert 4.7148 to a fraction

Result

4.7148 =
11787
2500
Mixed number:
4
1787
2500

Step 1: Identify the number of decimal places

The decimal 4.7148 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7148 × 10000 = 47148

Step 3: Write as a fraction

4.7148 =

47148
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47148 and 10000.

GCD(47148, 10000) = 4

Divide both the numerator and denominator by the GCD:

47148
10000

=

47148 ÷ 4
10000 ÷ 4

=

11787
2500
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