Converting 10.2375 to a Fraction
Step-by-step explanation of how to convert 10.2375 to a fraction
Result
10.2375 =
819
80
Mixed number:
10
19
80
Step 1: Identify the number of decimal places
The decimal 10.2375 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2375 × 10000 = 102375
Step 3: Write as a fraction
10.2375 =
102375
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102375 and 10000.
GCD(102375, 10000) = 125
Divide both the numerator and denominator by the GCD:
102375
10000
=
102375 ÷ 125
10000 ÷ 125
=
819
80
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