Converting 5.7656 to a Fraction
Step-by-step explanation of how to convert 5.7656 to a fraction

Result

5.7656 =
7207
1250
Mixed number:
5
957
1250

Step 1: Identify the number of decimal places

The decimal 5.7656 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.7656 × 10000 = 57656

Step 3: Write as a fraction

5.7656 =

57656
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 57656 and 10000.

GCD(57656, 10000) = 8

Divide both the numerator and denominator by the GCD:

57656
10000

=

57656 ÷ 8
10000 ÷ 8

=

7207
1250
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