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Solve for $c$ . $\newline$ $\frac{3}{10} \cdot c = \frac{3}{4}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $c =$

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

Full solution

Q. Solve for

c

.

\newline

\frac{3}{10} \cdot c = \frac{3}{4}

\newline

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

\newline

c =

Isolate c by multiplying: Step $1$ : Isolate c by multiplying both sides of the equation by the reciprocal of $\frac{3}{10}$ . $\newline$ Calculation: Multiply both sides by $\frac{10}{3}$ . $\newline$ $\left(\frac{10}{3}\right) \cdot \left(\frac{3}{10}\right) \cdot c = \left(\frac{10}{3}\right) \cdot \left(\frac{3}{4}\right)$ $\newline$ c = $\frac{10}{3} \cdot \frac{3}{4}$
Simplify to find $c$ : Step $2$ : Simplify the expression on the right side to find $c$ . $\newline$ Calculation: $c = \frac{10}{3} \times \frac{3}{4}$ $\newline$ $= \frac{10 \times 3}{3 \times 4}$ $\newline$ $= \frac{30}{12}$ $\newline$ $= \frac{5}{2}$

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