Converting 2.8175 to a Fraction
Step-by-step explanation of how to convert 2.8175 to a fraction

Result

2.8175 =
1127
400
Mixed number:
2
327
400

Step 1: Identify the number of decimal places

The decimal 2.8175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.8175 × 10000 = 28175

Step 3: Write as a fraction

2.8175 =

28175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28175 and 10000.

GCD(28175, 10000) = 25

Divide both the numerator and denominator by the GCD:

28175
10000

=

28175 ÷ 25
10000 ÷ 25

=

1127
400
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