Solve 5/20(30)3+601

$$\frac { 5 } { 20 } ( 30 ) 3 + 601$$

Evaluate

$$\frac{1247}{2}=623.5$$

Solution Steps

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}\times 30\times 3+601$$

Multiply \frac{1}{4} and 30 to get \frac{30}{4}.

$$\frac{30}{4}\times 3+601$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}\times 3+601$$

Express \frac{15}{2}\times 3 as a single fraction.

$$\frac{15\times 3}{2}+601$$

Multiply 15 and 3 to get 45.

$$\frac{45}{2}+601$$

Convert 601 to fraction \frac{1202}{2}.

$$\frac{45}{2}+\frac{1202}{2}$$

Since \frac{45}{2} and \frac{1202}{2} have the same denominator, add them by adding their numerators.

$$\frac{45+1202}{2}$$

Add 45 and 1202 to get 1247.

$$\frac{1247}{2}$$

Factor

$$\frac{29 \cdot 43}{2} = 623\frac{1}{2} = 623.5$$