Converting 2.8725 to a Fraction
Step-by-step explanation of how to convert 2.8725 to a fraction
Result
2.8725 =
1149
400
Mixed number:
2
349
400
Step 1: Identify the number of decimal places
The decimal 2.8725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.8725 × 10000 = 28725
Step 3: Write as a fraction
2.8725 =
28725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 28725 and 10000.
GCD(28725, 10000) = 25
Divide both the numerator and denominator by the GCD:
28725
10000
=
28725 ÷ 25
10000 ÷ 25
=
1149
400
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