Converting 7.82375 to a Fraction
Step-by-step explanation of how to convert 7.82375 to a fraction
Result
7.82375 =
6259
800
Mixed number:
7
659
800
Step 1: Identify the number of decimal places
The decimal 7.82375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
7.82375 × 100000 = 782375
Step 3: Write as a fraction
7.82375 =
782375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782375 and 100000.
GCD(782375, 100000) = 125
Divide both the numerator and denominator by the GCD:
782375
100000
=
782375 ÷ 125
100000 ÷ 125
=
6259
800
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