Solve 71/2+15+191/4

$$7 \frac { 1 } { 2 } + 15 + 19 \frac { 1 } { 4 }$$

Evaluate

$$\frac{167}{4}=41.75$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}+15+\frac{19\times 4+1}{4}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}+15+\frac{19\times 4+1}{4}$$

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

$$\frac{15}{2}+\frac{30}{2}+\frac{19\times 4+1}{4}$$

Since \frac{15}{2} and \frac{30}{2} have the same denominator, add them by adding their numerators.

$$\frac{15+30}{2}+\frac{19\times 4+1}{4}$$

Add 15 and 30 to get 45.

$$\frac{45}{2}+\frac{19\times 4+1}{4}$$

Multiply 19 and 4 to get 76.

$$\frac{45}{2}+\frac{76+1}{4}$$

Add 76 and 1 to get 77.

$$\frac{45}{2}+\frac{77}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{45}{2} and \frac{77}{4} to fractions with denominator 4.

$$\frac{90}{4}+\frac{77}{4}$$

Since \frac{90}{4} and \frac{77}{4} have the same denominator, add them by adding their numerators.

$$\frac{90+77}{4}$$

Add 90 and 77 to get 167.

$$\frac{167}{4}$$

Factor

$$\frac{167}{2 ^ {2}} = 41\frac{3}{4} = 41.75$$