Converting 47.28 to a Fraction
Step-by-step explanation of how to convert 47.28 to a fraction
Result
47.28 =
1182
25
Mixed number:
47
7
25
Step 1: Identify the number of decimal places
The decimal 47.28 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
47.28 × 100 = 4728
Step 3: Write as a fraction
47.28 =
4728
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4728 and 100.
GCD(4728, 100) = 4
Divide both the numerator and denominator by the GCD:
4728
100
=
4728 ÷ 4
100 ÷ 4
=
1182
25
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