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Solve for $z$ . $\newline$ $\frac{1}{10} \cdot z = \frac{5}{12}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $z =$

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Solve one-step multiplication and division equations with decimals and fractions

Full solution

Q. Solve for

z

.

\newline

\frac{1}{10} \cdot z = \frac{5}{12}

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

z =

Isolate z by multiplying: Step $1$ : Isolate z by multiplying both sides of the equation by $10$ . Calculation: $10 \times (\frac{1}{10} \times z) = 10 \times (\frac{5}{12})$ $z = \frac{50}{12}$
Simplify the fraction: Step $2$ : Simplify the fraction $\frac{50}{12}$ . $\newline$ Calculation: Divide the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $z = \frac{25}{6}$

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