Converting 7.838 to a Fraction
Step-by-step explanation of how to convert 7.838 to a fraction
Result
7.838 =
3919
500
Mixed number:
7
419
500
Step 1: Identify the number of decimal places
The decimal 7.838 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.838 × 1000 = 7838
Step 3: Write as a fraction
7.838 =
7838
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7838 and 1000.
GCD(7838, 1000) = 2
Divide both the numerator and denominator by the GCD:
7838
1000
=
7838 ÷ 2
1000 ÷ 2
=
3919
500
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