Converting 34.1876 to a Fraction
Step-by-step explanation of how to convert 34.1876 to a fraction
Result
34.1876 =
85469
2500
Mixed number:
34
469
2500
Step 1: Identify the number of decimal places
The decimal 34.1876 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
34.1876 × 10000 = 341876
Step 3: Write as a fraction
34.1876 =
341876
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 341876 and 10000.
GCD(341876, 10000) = 4
Divide both the numerator and denominator by the GCD:
341876
10000
=
341876 ÷ 4
10000 ÷ 4
=
85469
2500
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