Converting 5.7456 to a Fraction
Step-by-step explanation of how to convert 5.7456 to a fraction

Result

5.7456 =
3591
625
Mixed number:
5
466
625

Step 1: Identify the number of decimal places

The decimal 5.7456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.7456 × 10000 = 57456

Step 3: Write as a fraction

5.7456 =

57456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 57456 and 10000.

GCD(57456, 10000) = 16

Divide both the numerator and denominator by the GCD:

57456
10000

=

57456 ÷ 16
10000 ÷ 16

=

3591
625
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