Converting 3.8125 to a Fraction
Step-by-step explanation of how to convert 3.8125 to a fraction
Result
3.8125 =
61
16
Mixed number:
3
13
16
Step 1: Identify the number of decimal places
The decimal 3.8125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.8125 × 10000 = 38125
Step 3: Write as a fraction
3.8125 =
38125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38125 and 10000.
GCD(38125, 10000) = 625
Divide both the numerator and denominator by the GCD:
38125
10000
=
38125 ÷ 625
10000 ÷ 625
=
61
16
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