Converting 2.2175 to a Fraction
Step-by-step explanation of how to convert 2.2175 to a fraction

Result

2.2175 =
887
400
Mixed number:
2
87
400

Step 1: Identify the number of decimal places

The decimal 2.2175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.2175 × 10000 = 22175

Step 3: Write as a fraction

2.2175 =

22175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22175 and 10000.

GCD(22175, 10000) = 25

Divide both the numerator and denominator by the GCD:

22175
10000

=

22175 ÷ 25
10000 ÷ 25

=

887
400
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