Converting 1.89792 to a Fraction
Step-by-step explanation of how to convert 1.89792 to a fraction
Result
1.89792 =
5931
3125
Mixed number:
1
2806
3125
Step 1: Identify the number of decimal places
The decimal 1.89792 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
1.89792 × 100000 = 189792
Step 3: Write as a fraction
1.89792 =
189792
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 189792 and 100000.
GCD(189792, 100000) = 32
Divide both the numerator and denominator by the GCD:
189792
100000
=
189792 ÷ 32
100000 ÷ 32
=
5931
3125
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