Converting 5.6905 to a Fraction
Step-by-step explanation of how to convert 5.6905 to a fraction
Result
5.6905 =
11381
2000
Mixed number:
5
1381
2000
Step 1: Identify the number of decimal places
The decimal 5.6905 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
5.6905 × 10000 = 56905
Step 3: Write as a fraction
5.6905 =
56905
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 56905 and 10000.
GCD(56905, 10000) = 5
Divide both the numerator and denominator by the GCD:
56905
10000
=
56905 ÷ 5
10000 ÷ 5
=
11381
2000
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