Converting 6.9878 to a Fraction
Step-by-step explanation of how to convert 6.9878 to a fraction
Result
6.9878 =
34939
5000
Mixed number:
6
4939
5000
Step 1: Identify the number of decimal places
The decimal 6.9878 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.9878 × 10000 = 69878
Step 3: Write as a fraction
6.9878 =
69878
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 69878 and 10000.
GCD(69878, 10000) = 2
Divide both the numerator and denominator by the GCD:
69878
10000
=
69878 ÷ 2
10000 ÷ 2
=
34939
5000
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