Converting 6.905 to a Fraction
Step-by-step explanation of how to convert 6.905 to a fraction
Result
6.905 =
1381
200
Mixed number:
6
181
200
Step 1: Identify the number of decimal places
The decimal 6.905 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.905 × 1000 = 6905
Step 3: Write as a fraction
6.905 =
6905
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6905 and 1000.
GCD(6905, 1000) = 5
Divide both the numerator and denominator by the GCD:
6905
1000
=
6905 ÷ 5
1000 ÷ 5
=
1381
200
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