Converting 2.4755 to a Fraction
Step-by-step explanation of how to convert 2.4755 to a fraction

Result

2.4755 =
4951
2000
Mixed number:
2
951
2000

Step 1: Identify the number of decimal places

The decimal 2.4755 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.4755 × 10000 = 24755

Step 3: Write as a fraction

2.4755 =

24755
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 24755 and 10000.

GCD(24755, 10000) = 5

Divide both the numerator and denominator by the GCD:

24755
10000

=

24755 ÷ 5
10000 ÷ 5

=

4951
2000
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