Converting 4.0725 to a Fraction
Step-by-step explanation of how to convert 4.0725 to a fraction

Result

4.0725 =
1629
400
Mixed number:
4
29
400

Step 1: Identify the number of decimal places

The decimal 4.0725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.0725 × 10000 = 40725

Step 3: Write as a fraction

4.0725 =

40725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40725 and 10000.

GCD(40725, 10000) = 25

Divide both the numerator and denominator by the GCD:

40725
10000

=

40725 ÷ 25
10000 ÷ 25

=

1629
400
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