Converting 1.6825 to a Fraction
Step-by-step explanation of how to convert 1.6825 to a fraction

Result

1.6825 =
673
400
Mixed number:
1
273
400

Step 1: Identify the number of decimal places

The decimal 1.6825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.6825 × 10000 = 16825

Step 3: Write as a fraction

1.6825 =

16825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 16825 and 10000.

GCD(16825, 10000) = 25

Divide both the numerator and denominator by the GCD:

16825
10000

=

16825 ÷ 25
10000 ÷ 25

=

673
400
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