Converting 42.7424 to a Fraction
Step-by-step explanation of how to convert 42.7424 to a fraction
Result
42.7424 =
26714
625
Mixed number:
42
464
625
Step 1: Identify the number of decimal places
The decimal 42.7424 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
42.7424 × 10000 = 427424
Step 3: Write as a fraction
42.7424 =
427424
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 427424 and 10000.
GCD(427424, 10000) = 16
Divide both the numerator and denominator by the GCD:
427424
10000
=
427424 ÷ 16
10000 ÷ 16
=
26714
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions