Converting 2.1176 to a Fraction
Step-by-step explanation of how to convert 2.1176 to a fraction
Result
2.1176 =
2647
1250
Mixed number:
2
147
1250
Step 1: Identify the number of decimal places
The decimal 2.1176 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1176 × 10000 = 21176
Step 3: Write as a fraction
2.1176 =
21176
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21176 and 10000.
GCD(21176, 10000) = 8
Divide both the numerator and denominator by the GCD:
21176
10000
=
21176 ÷ 8
10000 ÷ 8
=
2647
1250
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