Converting 17.75 to a Fraction
Step-by-step explanation of how to convert 17.75 to a fraction
Result
17.75 =
71
4
Mixed number:
17
3
4
Step 1: Identify the number of decimal places
The decimal 17.75 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
17.75 × 100 = 1775
Step 3: Write as a fraction
17.75 =
1775
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1775 and 100.
GCD(1775, 100) = 25
Divide both the numerator and denominator by the GCD:
1775
100
=
1775 ÷ 25
100 ÷ 25
=
71
4
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