Converting 8.45 to a Fraction
Step-by-step explanation of how to convert 8.45 to a fraction

Result

8.45 =
169
20
Mixed number:
8
9
20

Step 1: Identify the number of decimal places

The decimal 8.45 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

8.45 × 100 = 845

Step 3: Write as a fraction

8.45 =

845
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 845 and 100.

GCD(845, 100) = 5

Divide both the numerator and denominator by the GCD:

845
100

=

845 ÷ 5
100 ÷ 5

=

169
20
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