Converting 5.85 to a Fraction
Step-by-step explanation of how to convert 5.85 to a fraction

Result

5.85 =
117
20
Mixed number:
5
17
20

Step 1: Identify the number of decimal places

The decimal 5.85 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

5.85 × 100 = 585

Step 3: Write as a fraction

5.85 =

585
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 585 and 100.

GCD(585, 100) = 5

Divide both the numerator and denominator by the GCD:

585
100

=

585 ÷ 5
100 ÷ 5

=

117
20
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