Converting 7.28375 to a Fraction
Step-by-step explanation of how to convert 7.28375 to a fraction
Result
7.28375 =
5827
800
Mixed number:
7
227
800
Step 1: Identify the number of decimal places
The decimal 7.28375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
7.28375 × 100000 = 728375
Step 3: Write as a fraction
7.28375 =
728375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 728375 and 100000.
GCD(728375, 100000) = 125
Divide both the numerator and denominator by the GCD:
728375
100000
=
728375 ÷ 125
100000 ÷ 125
=
5827
800
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