Converting 2.1575 to a Fraction
Step-by-step explanation of how to convert 2.1575 to a fraction

Result

2.1575 =
863
400
Mixed number:
2
63
400

Step 1: Identify the number of decimal places

The decimal 2.1575 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1575 × 10000 = 21575

Step 3: Write as a fraction

2.1575 =

21575
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21575 and 10000.

GCD(21575, 10000) = 25

Divide both the numerator and denominator by the GCD:

21575
10000

=

21575 ÷ 25
10000 ÷ 25

=

863
400
Related Conversions
Other decimal to fraction conversions you might find useful