Multiply. Simplify your answer. 6dg/9d^2g * 7g^2 ______

Write Problem and Factor: Write down the multiplication problem and factor any common factors in the numerators and denominators if possible. The problem is (6dg)/(9d^2g) * 7g^2. We can factor out a 'g' from the numerator and denominator of the first fraction and a 'd' from the denominator. Calculation: (6d*g)/(9d*d*g) * 7g^2 = (6/9d) * 7g^2.Simplify Fraction: Simplify the fraction (6/9d) by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Calculation: (6/9d) = (2/3d).Multiply by 7g^2: Now multiply the simplified fraction (2/3d) by 7g^2. Calculation: (2/3d) * 7g^2 = (2*7g^2)/(3d) = 14g^2/(3d).Check for Further Simplification: Check if the expression can be simplified further. Since there are no common factors between the numerator and the denominator, the expression is already in its simplest form. Calculation: 14g^2/(3d) is the simplest form.

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{6dg}{9d^2g} \times 7g^2

Write Problem and Factor: Write down the multiplication problem and factor any common factors in the numerators and denominators if possible. The problem is $(\frac{6dg}{9d^2g}) \times 7g^2$ . We can factor out a 'g' from the numerator and denominator of the first fraction and a 'd' from the denominator. $\newline$ Calculation: $(\frac{6d\cdot g}{9d\cdot d\cdot g}) \times 7g^2 = (\frac{6}{9d}) \times 7g^2$ .
Simplify Fraction: Simplify the fraction $(\frac{6}{9d})$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ Calculation: $(\frac{6}{9d}) = (\frac{2}{3d})$ .
Multiply by $7g^2$ : Now multiply the simplified fraction $\frac{2}{3d}$ by $7g^2$ . $\newline$ Calculation: $\frac{2}{3d} \times 7g^2 = \frac{2\times 7g^2}{3d} = \frac{14g^2}{3d}$ .
Check for Further Simplification: Check if the expression can be simplified further. Since there are no common factors between the numerator and the denominator, the expression is already in its simplest form. $\newline$ Calculation: $\frac{14g^2}{3d}$ is the simplest form.