Converting 3.735 to a Fraction
Step-by-step explanation of how to convert 3.735 to a fraction

Result

3.735 =
747
200
Mixed number:
3
147
200

Step 1: Identify the number of decimal places

The decimal 3.735 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.735 × 1000 = 3735

Step 3: Write as a fraction

3.735 =

3735
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3735 and 1000.

GCD(3735, 1000) = 5

Divide both the numerator and denominator by the GCD:

3735
1000

=

3735 ÷ 5
1000 ÷ 5

=

747
200
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