Converting 4.87745 to a Fraction
Step-by-step explanation of how to convert 4.87745 to a fraction

Result

4.87745 =
97549
20000
Mixed number:
4
17549
20000

Step 1: Identify the number of decimal places

The decimal 4.87745 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.87745 × 100000 = 487745

Step 3: Write as a fraction

4.87745 =

487745
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 487745 and 100000.

GCD(487745, 100000) = 5

Divide both the numerator and denominator by the GCD:

487745
100000

=

487745 ÷ 5
100000 ÷ 5

=

97549
20000
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