Converting 0.8445 to a Fraction
Step-by-step explanation of how to convert 0.8445 to a fraction

Result

0.8445 =
1689
2000

Step 1: Identify the number of decimal places

The decimal 0.8445 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8445 × 10000 = 8445

Step 3: Write as a fraction

0.8445 =

8445
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8445 and 10000.

GCD(8445, 10000) = 5

Divide both the numerator and denominator by the GCD:

8445
10000

=

8445 ÷ 5
10000 ÷ 5

=

1689
2000
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