Perform the operation and simplify the answer fully. (4)/(9)*(1)/(2) Answer:

Identify Operation: Identify the operation to be performed. We need to multiply two fractions: (4/9) and (1/2).Multiply Numerators: Multiply the numerators. Multiply the numerators 4 and 1 to get the new numerator. 4 * 1 = 4Multiply Denominators: Multiply the denominators. Multiply the denominators 9 and 2 to get the new denominator. 9 * 2 = 18Write Result as Fraction: Write the result as a fraction. Combine the results of Step 2 and Step 3 to form the new fraction. (4 * 1) / (9 * 2) = 4/18Simplify Fraction: Simplify the fraction. The fraction 4/18 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 4 ÷ 2 = 2 18 ÷ 2 = 9 So, 4/18 simplifies to 2/9.

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Perform the operation and simplify the answer fully.

(4)/(9)*(1)/(2)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{4}{9} \cdot \frac{1}{2}$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{4}{9} \cdot \frac{1}{2}

\newline

Answer:

Identify Operation: Identify the operation to be performed. $\newline$ We need to multiply two fractions: $(\frac{4}{9})$ and $(\frac{1}{2})$ .
Multiply Numerators: Multiply the numerators. $\newline$ Multiply the numerators $4$ and $1$ to get the new numerator. $\newline$ $4 \times 1 = 4$
Multiply Denominators: Multiply the denominators. $\newline$ Multiply the denominators $9$ and $2$ to get the new denominator. $\newline$ $9 \times 2 = 18$
Write Result as Fraction: Write the result as a fraction. $\newline$ Combine the results of Step $2$ and Step $3$ to form the new fraction. $\newline$ $(4 \times 1) / (9 \times 2) = 4/18$
Simplify Fraction: Simplify the fraction. $\newline$ The fraction $\frac{4}{18}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $4 \div 2 = 2$ $\newline$ $18 \div 2 = 9$ $\newline$ So, $\frac{4}{18}$ simplifies to $\frac{2}{9}$ .