Converting 5.766144 to a Fraction
Step-by-step explanation of how to convert 5.766144 to a fraction

Result

5.766144 =
90096
15625
Mixed number:
5
11971
15625

Step 1: Identify the number of decimal places

The decimal 5.766144 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

5.766144 × 1000000 = 5766144

Step 3: Write as a fraction

5.766144 =

5766144
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5766144 and 1000000.

GCD(5766144, 1000000) = 64

Divide both the numerator and denominator by the GCD:

5766144
1000000

=

5766144 ÷ 64
1000000 ÷ 64

=

90096
15625
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