Converting 7.458 to a Fraction
Step-by-step explanation of how to convert 7.458 to a fraction
Result
7.458 =
3729
500
Mixed number:
7
229
500
Step 1: Identify the number of decimal places
The decimal 7.458 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.458 × 1000 = 7458
Step 3: Write as a fraction
7.458 =
7458
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7458 and 1000.
GCD(7458, 1000) = 2
Divide both the numerator and denominator by the GCD:
7458
1000
=
7458 ÷ 2
1000 ÷ 2
=
3729
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions