Solve 1/2(30)+2/4(30)+2(30)+2/2(30)

$$\frac{ 1 }{ 2 } (30)+ \frac{ 2 }{ 4 } (30)+2(30)+ \frac{ 2 }{ 2 } (30)$$

Evaluate

$$120$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{2}\times 30+\frac{2}{4}\times 30+2\times 30+1\times 30$$

Multiply 2 and 30 to get 60. Multiply 1 and 30 to get 30.

$$\frac{1}{2}\times 30+\frac{2}{4}\times 30+60+30$$

Multiply \frac{1}{2} and 30 to get \frac{30}{2}.

$$\frac{30}{2}+\frac{2}{4}\times 30+60+30$$

Divide 30 by 2 to get 15.

$$15+\frac{2}{4}\times 30+60+30$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$15+\frac{1}{2}\times 30+60+30$$

Multiply \frac{1}{2} and 30 to get \frac{30}{2}.

$$15+\frac{30}{2}+60+30$$

Divide 30 by 2 to get 15.

$$15+15+60+30$$

Add 15 and 15 to get 30.

$$30+60+30$$

Add 30 and 60 to get 90.

$$90+30$$

Add 90 and 30 to get 120.

$$120$$

Factor

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