Converting 1.8625 to a Fraction
Step-by-step explanation of how to convert 1.8625 to a fraction
Result
1.8625 =
149
80
Mixed number:
1
69
80
Step 1: Identify the number of decimal places
The decimal 1.8625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.8625 × 10000 = 18625
Step 3: Write as a fraction
1.8625 =
18625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 18625 and 10000.
GCD(18625, 10000) = 125
Divide both the numerator and denominator by the GCD:
18625
10000
=
18625 ÷ 125
10000 ÷ 125
=
149
80
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