Converting 7.5376 to a Fraction
Step-by-step explanation of how to convert 7.5376 to a fraction
Result
7.5376 =
4711
625
Mixed number:
7
336
625
Step 1: Identify the number of decimal places
The decimal 7.5376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
7.5376 × 10000 = 75376
Step 3: Write as a fraction
7.5376 =
75376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 75376 and 10000.
GCD(75376, 10000) = 16
Divide both the numerator and denominator by the GCD:
75376
10000
=
75376 ÷ 16
10000 ÷ 16
=
4711
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions