Solve 5-k/3/3-frac{5{4}}

$$\frac { 5 - \frac { k } { 3 } } { 3 - \frac { 5 } { 4 } }$$

Evaluate

$$-\frac{4k}{21}+\frac{20}{7}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{3}{3}.

$$\frac{\frac{5\times 3}{3}-\frac{k}{3}}{3-\frac{5}{4}}$$

Since \frac{5\times 3}{3} and \frac{k}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5\times 3-k}{3}}{3-\frac{5}{4}}$$

Do the multiplications in 5\times 3-k.

$$\frac{\frac{15-k}{3}}{3-\frac{5}{4}}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{\frac{15-k}{3}}{\frac{12}{4}-\frac{5}{4}}$$

Since \frac{12}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-k}{3}}{\frac{12-5}{4}}$$

Subtract 5 from 12 to get 7.

$$\frac{\frac{15-k}{3}}{\frac{7}{4}}$$

Divide \frac{15-k}{3} by \frac{7}{4} by multiplying \frac{15-k}{3} by the reciprocal of \frac{7}{4}.

$$\frac{\left(15-k\right)\times 4}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{\left(15-k\right)\times 4}{21}$$

Use the distributive property to multiply 15-k by 4.

$$\frac{60-4k}{21}$$

Expand

$$-\frac{4k}{21}+\frac{20}{7}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{3}{3}.

$$\frac{\frac{5\times 3}{3}-\frac{k}{3}}{3-\frac{5}{4}}$$

Since \frac{5\times 3}{3} and \frac{k}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5\times 3-k}{3}}{3-\frac{5}{4}}$$

Do the multiplications in 5\times 3-k.

$$\frac{\frac{15-k}{3}}{3-\frac{5}{4}}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{\frac{15-k}{3}}{\frac{12}{4}-\frac{5}{4}}$$

Since \frac{12}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-k}{3}}{\frac{12-5}{4}}$$

Subtract 5 from 12 to get 7.

$$\frac{\frac{15-k}{3}}{\frac{7}{4}}$$

Divide \frac{15-k}{3} by \frac{7}{4} by multiplying \frac{15-k}{3} by the reciprocal of \frac{7}{4}.

$$\frac{\left(15-k\right)\times 4}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{\left(15-k\right)\times 4}{21}$$

Use the distributive property to multiply 15-k by 4.

$$\frac{60-4k}{21}$$