Converting 47.35 to a Fraction
Step-by-step explanation of how to convert 47.35 to a fraction
Result
47.35 =
947
20
Mixed number:
47
7
20
Step 1: Identify the number of decimal places
The decimal 47.35 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
47.35 × 100 = 4735
Step 3: Write as a fraction
47.35 =
4735
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4735 and 100.
GCD(4735, 100) = 5
Divide both the numerator and denominator by the GCD:
4735
100
=
4735 ÷ 5
100 ÷ 5
=
947
20
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