Converting 0.2768 to a Fraction
Step-by-step explanation of how to convert 0.2768 to a fraction
Result
0.2768 =
173
625
Step 1: Identify the number of decimal places
The decimal 0.2768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.2768 × 10000 = 2768
Step 3: Write as a fraction
0.2768 =
2768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2768 and 10000.
GCD(2768, 10000) = 16
Divide both the numerator and denominator by the GCD:
2768
10000
=
2768 ÷ 16
10000 ÷ 16
=
173
625
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