Converting 1.171 to a Fraction
Step-by-step explanation of how to convert 1.171 to a fraction

Result

1.171 =
1171
1000
Mixed number:
1
171
1000

Step 1: Identify the number of decimal places

The decimal 1.171 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.171 × 1000 = 1171

Step 3: Write as a fraction

1.171 =

1171
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1171 and 1000.

GCD(1171, 1000) = 1

Divide both the numerator and denominator by the GCD:

1171
1000

=

1171 ÷ 1
1000 ÷ 1

=

1171
1000
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