Solve -1/4+(5/3+8/5)*4/5

$$- \frac{ 1 }{ 4 } +( \frac{ 5 }{ 3 } + \frac{ 8 }{ 5 } ) \times \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{709}{300}\approx 2.363333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{8}{5} to fractions with denominator 15.

$$-\frac{1}{4}+\left(\frac{25}{15}+\frac{24}{15}\right)\times \frac{4}{5}$$

Since \frac{25}{15} and \frac{24}{15} have the same denominator, add them by adding their numerators.

$$-\frac{1}{4}+\frac{25+24}{15}\times \frac{4}{5}$$

Add 25 and 24 to get 49.

$$-\frac{1}{4}+\frac{49}{15}\times \frac{4}{5}$$

Multiply \frac{49}{15} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{4}+\frac{49\times 4}{15\times 5}$$

Do the multiplications in the fraction \frac{49\times 4}{15\times 5}.

$$-\frac{1}{4}+\frac{196}{75}$$

Least common multiple of 4 and 75 is 300. Convert -\frac{1}{4} and \frac{196}{75} to fractions with denominator 300.

$$-\frac{75}{300}+\frac{784}{300}$$

Since -\frac{75}{300} and \frac{784}{300} have the same denominator, add them by adding their numerators.

$$\frac{-75+784}{300}$$

Add -75 and 784 to get 709.

$$\frac{709}{300}$$

Factor

$$\frac{709}{2 ^ {2} \cdot 3 \cdot 5 ^ {2}} = 2\frac{109}{300} = 2.3633333333333333$$