Converting 0.169 to a Fraction
Step-by-step explanation of how to convert 0.169 to a fraction

Result

0.169 =
169
1000

Step 1: Identify the number of decimal places

The decimal 0.169 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.169 × 1000 = 169

Step 3: Write as a fraction

0.169 =

169
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 169 and 1000.

GCD(169, 1000) = 1

Divide both the numerator and denominator by the GCD:

169
1000

=

169 ÷ 1
1000 ÷ 1

=

169
1000
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