Simplify the expression 454094/98206

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. To simplify the fraction 454094/98206, we need to find the GCD of 454094 and 98206. We can use the Euclidean algorithm to find the GCD.Apply Euclidean Algorithm: Apply the Euclidean algorithm to find the GCD of 454094 and 98206. We start by dividing the larger number by the smaller number and take the remainder. Then we divide the divisor by the remainder from the previous step and continue this process until the remainder is 0. The last non-zero remainder is the GCD. 454094 ÷ 98206 = 4 with a remainder of 29470. 98206 ÷ 29470 = 3 with a remainder of 9796. 29470 ÷ 9796 = 3 with a remainder of 82. 9796 ÷ 82 = 119 with a remainder of 38. 82 ÷ 38 = 2 with a remainder of 6. 38 ÷ 6 = 6 with a remainder of 2. 6 ÷ 2 = 3 with a remainder of 0. The last non-zero remainder is 2, so the GCD of 454094 and 98206 is 2.Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. 454094 ÷ 2 = 227047 98206 ÷ 2 = 49103 So, the simplified form of the fraction 454094/98206 is 227047/49103.

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Simplify the expression $\frac{454094}{98206}$

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Algebra 2

Simplify radical expressions involving fractions

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Q. Simplify the expression

\frac{454094}{98206}

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ To simplify the fraction $\frac{454094}{98206}$ , we need to find the GCD of $454094$ and $98206$ . We can use the Euclidean algorithm to find the GCD.
Apply Euclidean Algorithm: Apply the Euclidean algorithm to find the GCD of $454094$ and $98206$ . We start by dividing the larger number by the smaller number and take the remainder. Then we divide the divisor by the remainder from the previous step and continue this process until the remainder is $0$ . The last non-zero remainder is the GCD. $454094 \div 98206 = 4$ with a remainder of $29470$ . $98206 \div 29470 = 3$ with a remainder of $9796$ . $29470 \div 9796 = 3$ with a remainder of $82$ . $9796 \div 82 = 119$ with a remainder of $98206$ $0$ . $98206$ $1$ with a remainder of $98206$ $2$ . $98206$ $3$ with a remainder of $98206$ $4$ . $98206$ $5$ with a remainder of $0$ . The last non-zero remainder is $98206$ $4$ , so the GCD of $454094$ and $98206$ is $98206$ $4$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ $454094 \div 2 = 227047$ $\newline$ $98206 \div 2 = 49103$ $\newline$ So, the simplified form of the fraction $\frac{454094}{98206}$ is $\frac{227047}{49103}$ .