Solve 3x/5+331/3%

$$\frac{ 3x }{ 5 } + 33 \frac { 1 } { 3 } \%$$

Evaluate

$$\frac{3x}{5}+\frac{1}{3}$$

Short Solution Steps

Express \frac{\frac{33\times 3+1}{3}}{100} as a single fraction.

$$\frac{3x}{5}+\frac{33\times 3+1}{3\times 100}$$

Multiply 33 and 3 to get 99.

$$\frac{3x}{5}+\frac{99+1}{3\times 100}$$

Add 99 and 1 to get 100.

$$\frac{3x}{5}+\frac{100}{3\times 100}$$

Multiply 3 and 100 to get 300.

$$\frac{3x}{5}+\frac{100}{300}$$

Reduce the fraction \frac{100}{300} to lowest terms by extracting and canceling out 100.

$$\frac{3x}{5}+\frac{1}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply \frac{3x}{5} times \frac{3}{3}. Multiply \frac{1}{3} times \frac{5}{5}.

$$\frac{3\times 3x}{15}+\frac{5}{15}$$

Since \frac{3\times 3x}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{3\times 3x+5}{15}$$

Do the multiplications in 3\times 3x+5.

$$\frac{9x+5}{15}$$

Expand

$$\frac{3x}{5}+\frac{1}{3}$$

Short Solution Steps

Express \frac{\frac{33\times 3+1}{3}}{100} as a single fraction.

$$\frac{3x}{5}+\frac{33\times 3+1}{3\times 100}$$

Multiply 33 and 3 to get 99.

$$\frac{3x}{5}+\frac{99+1}{3\times 100}$$

Add 99 and 1 to get 100.

$$\frac{3x}{5}+\frac{100}{3\times 100}$$

Multiply 3 and 100 to get 300.

$$\frac{3x}{5}+\frac{100}{300}$$

Reduce the fraction \frac{100}{300} to lowest terms by extracting and canceling out 100.

$$\frac{3x}{5}+\frac{1}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3 is 15. Multiply \frac{3x}{5} times \frac{3}{3}. Multiply \frac{1}{3} times \frac{5}{5}.

$$\frac{3\times 3x}{15}+\frac{5}{15}$$

Since \frac{3\times 3x}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{3\times 3x+5}{15}$$

Do the multiplications in 3\times 3x+5.

$$\frac{9x+5}{15}$$