(5x)/(6y)*(3)/(10 y) Which expression is equivalent to the product for all y > 0 ? Choose 1 answer: (A) (x)/(2) (B) (25 x)/(9) (C) (x)/(2y^(2)) (D) (x)/(4y^(2))

Write and Identify Operation: Write down the given expression and identify the operation to be performed. We have the expression (5x)/(6y) * (3)/(10y) and we need to multiply the two fractions.Multiply Numerators and Denominators: Multiply the numerators and the denominators of the fractions separately. (5x * 3) / (6y * 10y) = (15x) / (60y^2)Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. 15x and 60y^2 have a common divisor of 15. (15x) / (60y^2) = (15/15)x / (60/15)y^2 = x / (4y^2)Compare with Choices: Compare the simplified expression with the given choices. The simplified expression is x / (4y^2), which matches choice (D).

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(5x)/(6y)*(3)/(10 y)
Which expression is equivalent to the product for all
y > 0 ?
Choose 1 answer:
(A)
(x)/(2)
(B)
(25 x)/(9)
(C)
(x)/(2y^(2))
(D)
(x)/(4y^(2))

$\frac{5 x}{6 y} \cdot \frac{3}{10 y}$ $\newline$ Which expression is equivalent to the product for all y>0 ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{x}{2}$ $\newline$ (B) $\frac{25 x}{9}$ $\newline$ (C) $\frac{x}{2 y^{2}}$ $\newline$ (D) $\frac{x}{4 y^{2}}$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

\frac{5 x}{6 y} \cdot \frac{3}{10 y}

\newline

Which expression is equivalent to the product for all

y>0

\newline

Choose

1

answer:

\newline

(A)

\frac{x}{2}

\newline

(B)

\frac{25 x}{9}

\newline

(C)

\frac{x}{2 y^{2}}

\newline

(D)

\frac{x}{4 y^{2}}

Write and Identify Operation: Write down the given expression and identify the operation to be performed. $\newline$ We have the expression $(\frac{5x}{6y}) \times (\frac{3}{10y})$ and we need to multiply the two fractions.
Multiply Numerators and Denominators: Multiply the numerators and the denominators of the fractions separately. $\newline$ $(5x \times 3) / (6y \times 10y) = (15x) / (60y^2)$
Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. $\newline$ $15x$ and $60y^2$ have a common divisor of $15$ . $\newline$ $(15x) / (60y^2) = (\frac{15}{15})x / (\frac{60}{15})y^2 = \frac{x}{4y^2}$
Compare with Choices: Compare the simplified expression with the given choices. $\newline$ The simplified expression is $\frac{x}{4y^2}$ , which matches choice (D).