Converting 2.1832 to a Fraction
Step-by-step explanation of how to convert 2.1832 to a fraction
Result
2.1832 =
2729
1250
Mixed number:
2
229
1250
Step 1: Identify the number of decimal places
The decimal 2.1832 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1832 × 10000 = 21832
Step 3: Write as a fraction
2.1832 =
21832
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21832 and 10000.
GCD(21832, 10000) = 8
Divide both the numerator and denominator by the GCD:
21832
10000
=
21832 ÷ 8
10000 ÷ 8
=
2729
1250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions