Solve 5*20/19+3*45/19

$$5 \times \frac { 20 } { 19 } + 3 \times \frac { 45 } { 19 }$$

Evaluate

$$\frac{235}{19}\approx 12.368421053$$

Solution Steps

Express 5\times \frac{20}{19} as a single fraction.

$$\frac{5\times 20}{19}+3\times \frac{45}{19}$$

Multiply 5 and 20 to get 100.

$$\frac{100}{19}+3\times \frac{45}{19}$$

Express 3\times \frac{45}{19} as a single fraction.

$$\frac{100}{19}+\frac{3\times 45}{19}$$

Multiply 3 and 45 to get 135.

$$\frac{100}{19}+\frac{135}{19}$$

Since \frac{100}{19} and \frac{135}{19} have the same denominator, add them by adding their numerators.

$$\frac{100+135}{19}$$

Add 100 and 135 to get 235.

$$\frac{235}{19}$$

Factor

$$\frac{5 \cdot 47}{19} = 12\frac{7}{19} = 12.368421052631579$$