Converting 28.78 to a Fraction
Step-by-step explanation of how to convert 28.78 to a fraction
Result
28.78 =
1439
50
Mixed number:
28
39
50
Step 1: Identify the number of decimal places
The decimal 28.78 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
28.78 × 100 = 2878
Step 3: Write as a fraction
28.78 =
2878
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2878 and 100.
GCD(2878, 100) = 2
Divide both the numerator and denominator by the GCD:
2878
100
=
2878 ÷ 2
100 ÷ 2
=
1439
50
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