Solve 0.8-8/15+22/3quadtext{(o)}51/4*2.8-13

$$0.8 - \frac { 8 } { 15 } + 2 \frac { 2 } { 3 } \quad \text { (o) } 5 \frac { 1 } { 4 } \times 2.8 - 13$$

Evaluate

$$\frac{196o}{5}-\frac{191}{15}$$

Solution Steps

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Least common multiple of 5 and 15 is 15. Convert \frac{4}{5} and \frac{8}{15} to fractions with denominator 15.

$$\frac{12}{15}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Since \frac{12}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Subtract 8 from 12 to get 4.

$$\frac{4}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Multiply 2 and 3 to get 6.

$$\frac{4}{15}+\frac{6+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Add 6 and 2 to get 8.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Multiply 5 and 4 to get 20.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{20+1}{4}\times 2.8-13$$

Add 20 and 1 to get 21.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{21}{4}\times 2.8-13$$

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

$$\frac{4}{15}+\frac{8\times 21}{3\times 4}o\times 2.8-13$$

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

$$\frac{4}{15}+\frac{168}{12}o\times 2.8-13$$

Divide 168 by 12 to get 14.

$$\frac{4}{15}+14o\times 2.8-13$$

Multiply 14 and 2.8 to get 39.2.

$$\frac{4}{15}+39.2o-13$$

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

$$\frac{4}{15}+39.2o-\frac{195}{15}$$

Since \frac{4}{15} and \frac{195}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-195}{15}+39.2o$$

Subtract 195 from 4 to get -191.

$$-\frac{191}{15}+39.2o$$

Expand

$$\frac{196o}{5}-\frac{191}{15}$$

Solution Steps

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Least common multiple of 5 and 15 is 15. Convert \frac{4}{5} and \frac{8}{15} to fractions with denominator 15.

$$\frac{12}{15}-\frac{8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Since \frac{12}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-8}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Subtract 8 from 12 to get 4.

$$\frac{4}{15}+\frac{2\times 3+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Multiply 2 and 3 to get 6.

$$\frac{4}{15}+\frac{6+2}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Add 6 and 2 to get 8.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{5\times 4+1}{4}\times 2.8-13$$

Multiply 5 and 4 to get 20.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{20+1}{4}\times 2.8-13$$

Add 20 and 1 to get 21.

$$\frac{4}{15}+\frac{8}{3}o\times \frac{21}{4}\times 2.8-13$$

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

$$\frac{4}{15}+\frac{8\times 21}{3\times 4}o\times 2.8-13$$

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

$$\frac{4}{15}+\frac{168}{12}o\times 2.8-13$$

Divide 168 by 12 to get 14.

$$\frac{4}{15}+14o\times 2.8-13$$

Multiply 14 and 2.8 to get 39.2.

$$\frac{4}{15}+39.2o-13$$

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

$$\frac{4}{15}+39.2o-\frac{195}{15}$$

Since \frac{4}{15} and \frac{195}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-195}{15}+39.2o$$

Subtract 195 from 4 to get -191.

$$-\frac{191}{15}+39.2o$$