Converting 7.4725 to a Fraction
Step-by-step explanation of how to convert 7.4725 to a fraction
Result
7.4725 =
2989
400
Mixed number:
7
189
400
Step 1: Identify the number of decimal places
The decimal 7.4725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
7.4725 × 10000 = 74725
Step 3: Write as a fraction
7.4725 =
74725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 74725 and 10000.
GCD(74725, 10000) = 25
Divide both the numerator and denominator by the GCD:
74725
10000
=
74725 ÷ 25
10000 ÷ 25
=
2989
400
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