Converting 5.78 to a Fraction
Step-by-step explanation of how to convert 5.78 to a fraction
Result
5.78 =
289
50
Mixed number:
5
39
50
Step 1: Identify the number of decimal places
The decimal 5.78 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
5.78 × 100 = 578
Step 3: Write as a fraction
5.78 =
578
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 578 and 100.
GCD(578, 100) = 2
Divide both the numerator and denominator by the GCD:
578
100
=
578 ÷ 2
100 ÷ 2
=
289
50
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