Converting 4.355 to a Fraction
Step-by-step explanation of how to convert 4.355 to a fraction

Result

4.355 =
871
200
Mixed number:
4
71
200

Step 1: Identify the number of decimal places

The decimal 4.355 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.355 × 1000 = 4355

Step 3: Write as a fraction

4.355 =

4355
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4355 and 1000.

GCD(4355, 1000) = 5

Divide both the numerator and denominator by the GCD:

4355
1000

=

4355 ÷ 5
1000 ÷ 5

=

871
200
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