Solve 08-8/15+22/3quadtext{(o)}51/4*28-13

$$08 - \frac { 8 } { 15 } + 2 \frac { 2 } { 3 } \quad \text { (o) } 5 \frac { 1 } { 4 } \times 28 - 13$$

Evaluate

$$392o-\frac{83}{15}$$

Solution Steps

Convert 8 to fraction \frac{120}{15}.

$$\frac{120}{15}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Since \frac{120}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120-8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Subtract 8 from 120 to get 112.

$$\frac{112}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Multiply 2 and 3 to get 6.

$$\frac{112}{15}+\frac{6+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Add 6 and 2 to get 8.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Multiply 5 and 4 to get 20.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{20+1}{4}\times 28-13$$

Add 20 and 1 to get 21.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{21}{4}\times 28-13$$

Multiply \frac{8}{3} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{112}{15}+\frac{8\times 21}{3\times 4}o\times 28-13$$

Do the multiplications in the fraction \frac{8\times 21}{3\times 4}.

$$\frac{112}{15}+\frac{168}{12}o\times 28-13$$

Divide 168 by 12 to get 14.

$$\frac{112}{15}+14o\times 28-13$$

Multiply 14 and 28 to get 392.

$$\frac{112}{15}+392o-13$$

Convert 13 to fraction \frac{195}{15}.

$$\frac{112}{15}+392o-\frac{195}{15}$$

Since \frac{112}{15} and \frac{195}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-195}{15}+392o$$

Subtract 195 from 112 to get -83.

$$-\frac{83}{15}+392o$$

Expand

$$392o-\frac{83}{15}$$

Solution Steps

Convert 8 to fraction \frac{120}{15}.

$$\frac{120}{15}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Since \frac{120}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120-8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Subtract 8 from 120 to get 112.

$$\frac{112}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Multiply 2 and 3 to get 6.

$$\frac{112}{15}+\frac{6+2}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Add 6 and 2 to get 8.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{5\times 4+1}{4}\times 28-13$$

Multiply 5 and 4 to get 20.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{20+1}{4}\times 28-13$$

Add 20 and 1 to get 21.

$$\frac{112}{15}+\frac{8}{3}o\times \frac{21}{4}\times 28-13$$

Multiply \frac{8}{3} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{112}{15}+\frac{8\times 21}{3\times 4}o\times 28-13$$

Do the multiplications in the fraction \frac{8\times 21}{3\times 4}.

$$\frac{112}{15}+\frac{168}{12}o\times 28-13$$

Divide 168 by 12 to get 14.

$$\frac{112}{15}+14o\times 28-13$$

Multiply 14 and 28 to get 392.

$$\frac{112}{15}+392o-13$$

Convert 13 to fraction \frac{195}{15}.

$$\frac{112}{15}+392o-\frac{195}{15}$$

Since \frac{112}{15} and \frac{195}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-195}{15}+392o$$

Subtract 195 from 112 to get -83.

$$-\frac{83}{15}+392o$$