Converting 1.8725 to a Fraction
Step-by-step explanation of how to convert 1.8725 to a fraction

Result

1.8725 =
749
400
Mixed number:
1
349
400

Step 1: Identify the number of decimal places

The decimal 1.8725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.8725 × 10000 = 18725

Step 3: Write as a fraction

1.8725 =

18725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 18725 and 10000.

GCD(18725, 10000) = 25

Divide both the numerator and denominator by the GCD:

18725
10000

=

18725 ÷ 25
10000 ÷ 25

=

749
400
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