Solve 23*3/161*1299+23*4/161*4598

$$\frac { 23 \times 3 } { 161 } \times 1299 + \frac { 23 \times 4 } { 161 } \times 4598$$

Evaluate

$$\frac{22289}{7}\approx 3184.142857143$$

Solution Steps

Multiply 23 and 3 to get 69.

$$\frac{69}{161}\times 1299+\frac{23\times 4}{161}\times 4598$$

Reduce the fraction \frac{69}{161} to lowest terms by extracting and canceling out 23.

$$\frac{3}{7}\times 1299+\frac{23\times 4}{161}\times 4598$$

Express \frac{3}{7}\times 1299 as a single fraction.

$$\frac{3\times 1299}{7}+\frac{23\times 4}{161}\times 4598$$

Multiply 3 and 1299 to get 3897.

$$\frac{3897}{7}+\frac{23\times 4}{161}\times 4598$$

Multiply 23 and 4 to get 92.

$$\frac{3897}{7}+\frac{92}{161}\times 4598$$

Reduce the fraction \frac{92}{161} to lowest terms by extracting and canceling out 23.

$$\frac{3897}{7}+\frac{4}{7}\times 4598$$

Express \frac{4}{7}\times 4598 as a single fraction.

$$\frac{3897}{7}+\frac{4\times 4598}{7}$$

Multiply 4 and 4598 to get 18392.

$$\frac{3897}{7}+\frac{18392}{7}$$

Since \frac{3897}{7} and \frac{18392}{7} have the same denominator, add them by adding their numerators.

$$\frac{3897+18392}{7}$$

Add 3897 and 18392 to get 22289.

$$\frac{22289}{7}$$

Factor

$$\frac{31 \cdot 719}{7} = 3184\frac{1}{7} = 3184.1428571428573$$