Converting 5.355 to a Fraction
Step-by-step explanation of how to convert 5.355 to a fraction

Result

5.355 =
1071
200
Mixed number:
5
71
200

Step 1: Identify the number of decimal places

The decimal 5.355 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.355 × 1000 = 5355

Step 3: Write as a fraction

5.355 =

5355
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5355 and 1000.

GCD(5355, 1000) = 5

Divide both the numerator and denominator by the GCD:

5355
1000

=

5355 ÷ 5
1000 ÷ 5

=

1071
200
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