Converting 1.89625 to a Fraction
Step-by-step explanation of how to convert 1.89625 to a fraction

Result

1.89625 =
1517
800
Mixed number:
1
717
800

Step 1: Identify the number of decimal places

The decimal 1.89625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.89625 × 100000 = 189625

Step 3: Write as a fraction

1.89625 =

189625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 189625 and 100000.

GCD(189625, 100000) = 125

Divide both the numerator and denominator by the GCD:

189625
100000

=

189625 ÷ 125
100000 ÷ 125

=

1517
800
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