Converting 8.1925 to a Fraction
Step-by-step explanation of how to convert 8.1925 to a fraction
Result
8.1925 =
3277
400
Mixed number:
8
77
400
Step 1: Identify the number of decimal places
The decimal 8.1925 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
8.1925 × 10000 = 81925
Step 3: Write as a fraction
8.1925 =
81925
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 81925 and 10000.
GCD(81925, 10000) = 25
Divide both the numerator and denominator by the GCD:
81925
10000
=
81925 ÷ 25
10000 ÷ 25
=
3277
400
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