Converting 0.1127 to a Fraction
Step-by-step explanation of how to convert 0.1127 to a fraction

Result

0.1127 =
1127
10000

Step 1: Identify the number of decimal places

The decimal 0.1127 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1127 × 10000 = 1127

Step 3: Write as a fraction

0.1127 =

1127
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1127 and 10000.

GCD(1127, 10000) = 1

Divide both the numerator and denominator by the GCD:

1127
10000

=

1127 ÷ 1
10000 ÷ 1

=

1127
10000
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