Solve 24/1.6+420/24

$$\frac{ 24 }{ 1.6 } + \frac{ 420 }{ 24 }$$

Evaluate

$$32.5$$

Solution Steps

Expand \frac{24}{1.6} by multiplying both numerator and the denominator by 10.

$$\frac{240}{16}+\frac{420}{24}$$

Divide 240 by 16 to get 15.

$$15+\frac{420}{24}$$

Reduce the fraction \frac{420}{24} to lowest terms by extracting and canceling out 12.

$$15+\frac{35}{2}$$

Convert 15 to fraction \frac{30}{2}.

$$\frac{30}{2}+\frac{35}{2}$$

Since \frac{30}{2} and \frac{35}{2} have the same denominator, add them by adding their numerators.

$$\frac{30+35}{2}$$

Add 30 and 35 to get 65.

$$\frac{65}{2}$$

Factor

$$\frac{5 \cdot 13}{2} = 32\frac{1}{2} = 32.5$$