Solve 2*23/15-7+523/15

$$2 \times \frac{ 23 }{ 15 } -7+5 \frac{ 23 }{ 15 }$$

Evaluate

$$\frac{13}{5}=2.6$$

Solution Steps

Express 2\times \frac{23}{15} as a single fraction.

$$\frac{2\times 23}{15}-7+\frac{5\times 15+23}{15}$$

Multiply 2 and 23 to get 46.

$$\frac{46}{15}-7+\frac{5\times 15+23}{15}$$

Convert 7 to fraction \frac{105}{15}.

$$\frac{46}{15}-\frac{105}{15}+\frac{5\times 15+23}{15}$$

Since \frac{46}{15} and \frac{105}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-105}{15}+\frac{5\times 15+23}{15}$$

Subtract 105 from 46 to get -59.

$$-\frac{59}{15}+\frac{5\times 15+23}{15}$$

Multiply 5 and 15 to get 75.

$$-\frac{59}{15}+\frac{75+23}{15}$$

Add 75 and 23 to get 98.

$$-\frac{59}{15}+\frac{98}{15}$$

Since -\frac{59}{15} and \frac{98}{15} have the same denominator, add them by adding their numerators.

$$\frac{-59+98}{15}$$

Add -59 and 98 to get 39.

$$\frac{39}{15}$$

Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$