Converting 8.175 to a Fraction
Step-by-step explanation of how to convert 8.175 to a fraction

Result

8.175 =
327
40
Mixed number:
8
7
40

Step 1: Identify the number of decimal places

The decimal 8.175 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.175 × 1000 = 8175

Step 3: Write as a fraction

8.175 =

8175
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8175 and 1000.

GCD(8175, 1000) = 25

Divide both the numerator and denominator by the GCD:

8175
1000

=

8175 ÷ 25
1000 ÷ 25

=

327
40
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