Converting 10.245 to a Fraction
Step-by-step explanation of how to convert 10.245 to a fraction
Result
10.245 =
2049
200
Mixed number:
10
49
200
Step 1: Identify the number of decimal places
The decimal 10.245 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.245 × 1000 = 10245
Step 3: Write as a fraction
10.245 =
10245
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10245 and 1000.
GCD(10245, 1000) = 5
Divide both the numerator and denominator by the GCD:
10245
1000
=
10245 ÷ 5
1000 ÷ 5
=
2049
200
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