Converting 2.8125 to a Fraction
Step-by-step explanation of how to convert 2.8125 to a fraction
Result
2.8125 =
45
16
Mixed number:
2
13
16
Step 1: Identify the number of decimal places
The decimal 2.8125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.8125 × 10000 = 28125
Step 3: Write as a fraction
2.8125 =
28125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 28125 and 10000.
GCD(28125, 10000) = 625
Divide both the numerator and denominator by the GCD:
28125
10000
=
28125 ÷ 625
10000 ÷ 625
=
45
16
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