Converting 8.152 to a Fraction
Step-by-step explanation of how to convert 8.152 to a fraction

Result

8.152 =
1019
125
Mixed number:
8
19
125

Step 1: Identify the number of decimal places

The decimal 8.152 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.152 × 1000 = 8152

Step 3: Write as a fraction

8.152 =

8152
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8152 and 1000.

GCD(8152, 1000) = 8

Divide both the numerator and denominator by the GCD:

8152
1000

=

8152 ÷ 8
1000 ÷ 8

=

1019
125
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