Solve 153/4*99+153/4

$$15 \frac { 3 } { 4 } \times 99 + 15 \frac { 3 } { 4 }$$

Evaluate

$$1575$$

Solution Steps

Multiply 15 and 4 to get 60.

$$\frac{60+3}{4}\times 99+\frac{15\times 4+3}{4}$$

Add 60 and 3 to get 63.

$$\frac{63}{4}\times 99+\frac{15\times 4+3}{4}$$

Express \frac{63}{4}\times 99 as a single fraction.

$$\frac{63\times 99}{4}+\frac{15\times 4+3}{4}$$

Multiply 63 and 99 to get 6237.

$$\frac{6237}{4}+\frac{15\times 4+3}{4}$$

Multiply 15 and 4 to get 60.

$$\frac{6237}{4}+\frac{60+3}{4}$$

Add 60 and 3 to get 63.

$$\frac{6237}{4}+\frac{63}{4}$$

Since \frac{6237}{4} and \frac{63}{4} have the same denominator, add them by adding their numerators.

$$\frac{6237+63}{4}$$

Add 6237 and 63 to get 6300.

$$\frac{6300}{4}$$

Divide 6300 by 4 to get 1575.

$$1575$$

Factor

$$3^{2}\times 5^{2}\times 7$$