Converting 8.345 to a Fraction
Step-by-step explanation of how to convert 8.345 to a fraction

Result

8.345 =
1669
200
Mixed number:
8
69
200

Step 1: Identify the number of decimal places

The decimal 8.345 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.345 × 1000 = 8345

Step 3: Write as a fraction

8.345 =

8345
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8345 and 1000.

GCD(8345, 1000) = 5

Divide both the numerator and denominator by the GCD:

8345
1000

=

8345 ÷ 5
1000 ÷ 5

=

1669
200
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