Converting 75.7456 to a Fraction
Step-by-step explanation of how to convert 75.7456 to a fraction
Result
75.7456 =
47341
625
Mixed number:
75
466
625
Step 1: Identify the number of decimal places
The decimal 75.7456 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
75.7456 × 10000 = 757456
Step 3: Write as a fraction
75.7456 =
757456
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 757456 and 10000.
GCD(757456, 10000) = 16
Divide both the numerator and denominator by the GCD:
757456
10000
=
757456 ÷ 16
10000 ÷ 16
=
47341
625
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