Solve 50+46-66div45*5545+1515

$$50+46-66 \div 45 \times 5545+1515$$

Evaluate

$$-\frac{19565}{3}\approx -6521.666666667$$

Solution Steps

Add 50 and 46 to get 96.

$$96-\frac{66}{45}\times 5545+1515$$

Reduce the fraction \frac{66}{45} to lowest terms by extracting and canceling out 3.

$$96-\frac{22}{15}\times 5545+1515$$

Express \frac{22}{15}\times 5545 as a single fraction.

$$96-\frac{22\times 5545}{15}+1515$$

Multiply 22 and 5545 to get 121990.

$$96-\frac{121990}{15}+1515$$

Reduce the fraction \frac{121990}{15} to lowest terms by extracting and canceling out 5.

$$96-\frac{24398}{3}+1515$$

Convert 96 to fraction \frac{288}{3}.

$$\frac{288}{3}-\frac{24398}{3}+1515$$

Since \frac{288}{3} and \frac{24398}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{288-24398}{3}+1515$$

Subtract 24398 from 288 to get -24110.

$$-\frac{24110}{3}+1515$$

Convert 1515 to fraction \frac{4545}{3}.

$$-\frac{24110}{3}+\frac{4545}{3}$$

Since -\frac{24110}{3} and \frac{4545}{3} have the same denominator, add them by adding their numerators.

$$\frac{-24110+4545}{3}$$

Add -24110 and 4545 to get -19565.

$$-\frac{19565}{3}$$

Factor

$$-\frac{19565}{3} = -6521\frac{2}{3} = -6521.666666666667$$