Converting 4.7832 to a Fraction
Step-by-step explanation of how to convert 4.7832 to a fraction

Result

4.7832 =
5979
1250
Mixed number:
4
979
1250

Step 1: Identify the number of decimal places

The decimal 4.7832 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7832 × 10000 = 47832

Step 3: Write as a fraction

4.7832 =

47832
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47832 and 10000.

GCD(47832, 10000) = 8

Divide both the numerator and denominator by the GCD:

47832
10000

=

47832 ÷ 8
10000 ÷ 8

=

5979
1250
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