Solve (-3.59)*(-4/7)-2.41*(-4/7)+6*(-4/7)l

$$( - 3.59 ) \times ( - \frac { 4 } { 7 } ) - 2.41 \times ( - \frac { 4 } { 7 } ) + 6 \times ( - \frac { 4 } { 7 } ) l$$

Evaluate

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

Solution Steps

Convert decimal number -3.59 to fraction -\frac{359}{100}.

$$-\frac{359}{100}\left(-\frac{4}{7}\right)-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Multiply -\frac{359}{100} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-359\left(-4\right)}{100\times 7}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Do the multiplications in the fraction \frac{-359\left(-4\right)}{100\times 7}.

$$\frac{1436}{700}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Reduce the fraction \frac{1436}{700} to lowest terms by extracting and canceling out 4.

$$\frac{359}{175}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Convert decimal number 2.41 to fraction \frac{241}{100}.

$$\frac{359}{175}-\frac{241}{100}\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l$$

Multiply \frac{241}{100} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{359}{175}-\frac{241\left(-4\right)}{100\times 7}+6\left(-\frac{4}{7}\right)l$$

Do the multiplications in the fraction \frac{241\left(-4\right)}{100\times 7}.

$$\frac{359}{175}-\frac{-964}{700}+6\left(-\frac{4}{7}\right)l$$

Reduce the fraction \frac{-964}{700} to lowest terms by extracting and canceling out 4.

$$\frac{359}{175}-\left(-\frac{241}{175}\right)+6\left(-\frac{4}{7}\right)l$$

The opposite of -\frac{241}{175} is \frac{241}{175}.

$$\frac{359}{175}+\frac{241}{175}+6\left(-\frac{4}{7}\right)l$$

Since \frac{359}{175} and \frac{241}{175} have the same denominator, add them by adding their numerators.

$$\frac{359+241}{175}+6\left(-\frac{4}{7}\right)l$$

Add 359 and 241 to get 600.

$$\frac{600}{175}+6\left(-\frac{4}{7}\right)l$$

Reduce the fraction \frac{600}{175} to lowest terms by extracting and canceling out 25.

$$\frac{24}{7}+6\left(-\frac{4}{7}\right)l$$

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

$$\frac{24}{7}+\frac{6\left(-4\right)}{7}l$$

Multiply 6 and -4 to get -24.

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

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

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

Factor

$$\frac{24\left(1-l\right)}{7}$$

Solution Steps

Convert decimal number -3.59 to fraction -\frac{359}{100}.

$$factor(-\frac{359}{100}\left(-\frac{4}{7}\right)-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l)$$

Multiply -\frac{359}{100} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$factor(\frac{-359\left(-4\right)}{100\times 7}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l)$$

Do the multiplications in the fraction \frac{-359\left(-4\right)}{100\times 7}.

$$factor(\frac{1436}{700}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l)$$

Reduce the fraction \frac{1436}{700} to lowest terms by extracting and canceling out 4.

$$factor(\frac{359}{175}-2.41\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l)$$

Convert decimal number 2.41 to fraction \frac{241}{100}.

$$factor(\frac{359}{175}-\frac{241}{100}\left(-\frac{4}{7}\right)+6\left(-\frac{4}{7}\right)l)$$

Multiply \frac{241}{100} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$factor(\frac{359}{175}-\frac{241\left(-4\right)}{100\times 7}+6\left(-\frac{4}{7}\right)l)$$

Do the multiplications in the fraction \frac{241\left(-4\right)}{100\times 7}.

$$factor(\frac{359}{175}-\frac{-964}{700}+6\left(-\frac{4}{7}\right)l)$$

Reduce the fraction \frac{-964}{700} to lowest terms by extracting and canceling out 4.

$$factor(\frac{359}{175}-\left(-\frac{241}{175}\right)+6\left(-\frac{4}{7}\right)l)$$

The opposite of -\frac{241}{175} is \frac{241}{175}.

$$factor(\frac{359}{175}+\frac{241}{175}+6\left(-\frac{4}{7}\right)l)$$

Since \frac{359}{175} and \frac{241}{175} have the same denominator, add them by adding their numerators.

$$factor(\frac{359+241}{175}+6\left(-\frac{4}{7}\right)l)$$

Add 359 and 241 to get 600.

$$factor(\frac{600}{175}+6\left(-\frac{4}{7}\right)l)$$

Reduce the fraction \frac{600}{175} to lowest terms by extracting and canceling out 25.

$$factor(\frac{24}{7}+6\left(-\frac{4}{7}\right)l)$$

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

$$factor(\frac{24}{7}+\frac{6\left(-4\right)}{7}l)$$

Multiply 6 and -4 to get -24.

$$factor(\frac{24}{7}+\frac{-24}{7}l)$$

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

$$factor(\frac{24}{7}-\frac{24}{7}l)$$

Factor out \frac{24}{7}.

$$\frac{24\left(1-l\right)}{7}$$