If (x)/(y)=(3)/(8) and (y)/(z)=(2)/(15) Then (x)/(z)=

Express x in terms of y: Given the ratio (x)/(y) = (3)/(8), we can express x in terms of y as x = (3y)/(8).Express y in terms of z: Similarly, given the ratio (y)/(z) = (2)/(15), we can express y in terms of z as y = (2z)/(15).Find x in terms of z: Now, we substitute the expression for y from the second equation into the first equation to find x in terms of z. So, x = (3 * ((2z)/(15)))/(8).Simplify x expression: Simplify the expression for x in terms of z by multiplying the numerators and denominators: x = (3 * 2z)/(8 * 15).Further simplify x: Further simplify the expression: x = (6z)/(120).Reduce x fraction: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6: x = z/20.

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If (x)/(y)=(3)/(8) and (y)/(z)=(2)/(15)
Then (x)/(z)=

If $\frac{x}{y}=\frac{3}{8}$ and $\frac{y}{z}=\frac{2}{15}$ $\newline$ Then $\frac{x}{z}=$

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Q. If

\frac{x}{y}=\frac{3}{8}

and

\frac{y}{z}=\frac{2}{15}

\newline

Then

\frac{x}{z}=

Express $x$ in terms of $y$ : Given the ratio $\frac{x}{y} = \frac{3}{8}$ , we can express $x$ in terms of $y$ as $x = \frac{3y}{8}$ .
Express $y$ in terms of $z$ : Similarly, given the ratio $\frac{y}{z} = \frac{2}{15}$ , we can express $y$ in terms of $z$ as $y = \frac{2z}{15}$ .
Find $x$ in terms of $z$ : Now, we substitute the expression for $y$ from the second equation into the first equation to find $x$ in terms of $z$ . So, $x = \frac{3 \times \left(\frac{2z}{15}\right)}{8}$ .
Simplify $x$ expression: Simplify the expression for $x$ in terms of $z$ by multiplying the numerators and denominators: $x = \frac{3 \times 2z}{8 \times 15}$ .
Further simplify $x$ : Further simplify the expression: $x = \frac{6z}{120}$ .
Reduce $x$ fraction: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $6$ : $x = \frac{z}{20}$ .