Converting 10.578 to a Fraction
Step-by-step explanation of how to convert 10.578 to a fraction
Result
10.578 =
5289
500
Mixed number:
10
289
500
Step 1: Identify the number of decimal places
The decimal 10.578 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.578 × 1000 = 10578
Step 3: Write as a fraction
10.578 =
10578
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10578 and 1000.
GCD(10578, 1000) = 2
Divide both the numerator and denominator by the GCD:
10578
1000
=
10578 ÷ 2
1000 ÷ 2
=
5289
500
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