Solve Date - 4/9 * L = - 7/3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { - 4 } { 9 } L = - \frac { 7 } { 3 }$$

Solve for L

$L = \frac{21}{4} = 5\frac{1}{4} = 5.25$

Steps for Solving Linear Equation

Fraction $\frac{-4}{9}$ can be rewritten as $-\frac{4}{9}$ by extracting the negative sign.

$$-\frac{4}{9}L=-\frac{7}{3}$$

Multiply both sides by $-\frac{9}{4}$, the reciprocal of $-\frac{4}{9}$.

$$L=-\frac{7}{3}\left(-\frac{9}{4}\right)$$

Multiply $-\frac{7}{3}$ times $-\frac{9}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$L=\frac{-7\left(-9\right)}{3\times 4}$$

Do the multiplications in the fraction $\frac{-7\left(-9\right)}{3\times 4}$.

$$L=\frac{63}{12}$$

Reduce the fraction $\frac{63}{12}$ to lowest terms by extracting and canceling out $3$.

$$L=\frac{21}{4}$$