Converting 2.84 to a Fraction
Step-by-step explanation of how to convert 2.84 to a fraction
Result
2.84 =
71
25
Mixed number:
2
21
25
Step 1: Identify the number of decimal places
The decimal 2.84 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
2.84 × 100 = 284
Step 3: Write as a fraction
2.84 =
284
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284 and 100.
GCD(284, 100) = 4
Divide both the numerator and denominator by the GCD:
284
100
=
284 ÷ 4
100 ÷ 4
=
71
25
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