Solve (-359)*(-4/7)-241*(-4/7)+6*(-4/7)l

$$( - 359 ) \times ( - \frac { 4 } { 7 } ) - 241 \times ( - \frac { 4 } { 7 } ) + 6 \times ( - \frac { 4 } { 7 } ) l$$

Evaluate

$$\frac{2400-24l}{7}$$

Solution Steps

Express -359\left(-\frac{4}{7}\right) as a single fraction.

$$\frac{-359\left(-4\right)}{7}-241\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Multiply -359 and -4 to get 1436.

$$\frac{1436}{7}-241\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Express 241\left(-\frac{4}{7}\right) as a single fraction.

$$\frac{1436}{7}-\frac{241\left(-4\right)}{7}+6\left(-\frac{4}{7}\right)l$$

Multiply 241 and -4 to get -964.

$$\frac{1436}{7}-\frac{-964}{7}+6\left(-\frac{4}{7}\right)l$$

Fraction \frac{-964}{7} can be rewritten as -\frac{964}{7} by extracting the negative sign.

$$\frac{1436}{7}-\left(-\frac{964}{7}\right)+6\left(-\frac{4}{7}\right)l$$

The opposite of -\frac{964}{7} is \frac{964}{7}.

$$\frac{1436}{7}+\frac{964}{7}+6\left(-\frac{4}{7}\right)l$$

Since \frac{1436}{7} and \frac{964}{7} have the same denominator, add them by adding their numerators.

$$\frac{1436+964}{7}+6\left(-\frac{4}{7}\right)l$$

Add 1436 and 964 to get 2400.

$$\frac{2400}{7}+6\left(-\frac{4}{7}\right)l$$

Express 6\left(-\frac{4}{7}\right) as a single fraction.

$$\frac{2400}{7}+\frac{6\left(-4\right)}{7}l$$

Multiply 6 and -4 to get -24.

$$\frac{2400}{7}+\frac{-24}{7}l$$

Fraction \frac{-24}{7} can be rewritten as -\frac{24}{7} by extracting the negative sign.

$$\frac{2400}{7}-\frac{24}{7}l$$

Factor

$$\frac{24\left(100-l\right)}{7}$$

Solution Steps

Factor out \frac{4}{7}.

$$\frac{4\left(600-6l\right)}{7}$$

Consider 359+241-6l. Multiply and combine like terms.

$$-6l+600$$

Consider -6l+600. Factor out 6.

$$6\left(-l+100\right)$$

Rewrite the complete factored expression.

$$\frac{24\left(-l+100\right)}{7}$$