Converting 4.735 to a Fraction
Step-by-step explanation of how to convert 4.735 to a fraction

Result

4.735 =
947
200
Mixed number:
4
147
200

Step 1: Identify the number of decimal places

The decimal 4.735 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.735 × 1000 = 4735

Step 3: Write as a fraction

4.735 =

4735
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4735 and 1000.

GCD(4735, 1000) = 5

Divide both the numerator and denominator by the GCD:

4735
1000

=

4735 ÷ 5
1000 ÷ 5

=

947
200
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