Converting 9.878 to a Fraction
Step-by-step explanation of how to convert 9.878 to a fraction
Result
9.878 =
4939
500
Mixed number:
9
439
500
Step 1: Identify the number of decimal places
The decimal 9.878 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.878 × 1000 = 9878
Step 3: Write as a fraction
9.878 =
9878
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9878 and 1000.
GCD(9878, 1000) = 2
Divide both the numerator and denominator by the GCD:
9878
1000
=
9878 ÷ 2
1000 ÷ 2
=
4939
500
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