Converting 5.64 to a Fraction
Step-by-step explanation of how to convert 5.64 to a fraction
Result
5.64 =
141
25
Mixed number:
5
16
25
Step 1: Identify the number of decimal places
The decimal 5.64 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
5.64 × 100 = 564
Step 3: Write as a fraction
5.64 =
564
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 564 and 100.
GCD(564, 100) = 4
Divide both the numerator and denominator by the GCD:
564
100
=
564 ÷ 4
100 ÷ 4
=
141
25
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