Converting 6.78125 to a Fraction
Step-by-step explanation of how to convert 6.78125 to a fraction
Result
6.78125 =
217
32
Mixed number:
6
25
32
Step 1: Identify the number of decimal places
The decimal 6.78125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
6.78125 × 100000 = 678125
Step 3: Write as a fraction
6.78125 =
678125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 678125 and 100000.
GCD(678125, 100000) = 3125
Divide both the numerator and denominator by the GCD:
678125
100000
=
678125 ÷ 3125
100000 ÷ 3125
=
217
32
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