Solve {l}{2(153+4)}{+104/88}{+15%}

$$\left. \begin{array} { l } { 2 ( 153 + 4 ) } \\ { + 104 / 88 } \\ { + 15 \% } \end{array} \right.$$

Evaluate

$$\frac{69373}{220}\approx 315.331818182$$

Solution Steps

Add 153 and 4 to get 157.

$$2\times 157+\frac{104}{88}+\frac{15}{100}$$

Multiply 2 and 157 to get 314.

$$314+\frac{104}{88}+\frac{15}{100}$$

Reduce the fraction \frac{104}{88} to lowest terms by extracting and canceling out 8.

$$314+\frac{13}{11}+\frac{15}{100}$$

Convert 314 to fraction \frac{3454}{11}.

$$\frac{3454}{11}+\frac{13}{11}+\frac{15}{100}$$

Since \frac{3454}{11} and \frac{13}{11} have the same denominator, add them by adding their numerators.

$$\frac{3454+13}{11}+\frac{15}{100}$$

Add 3454 and 13 to get 3467.

$$\frac{3467}{11}+\frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3467}{11}+\frac{3}{20}$$

Least common multiple of 11 and 20 is 220. Convert \frac{3467}{11} and \frac{3}{20} to fractions with denominator 220.

$$\frac{69340}{220}+\frac{33}{220}$$

Since \frac{69340}{220} and \frac{33}{220} have the same denominator, add them by adding their numerators.

$$\frac{69340+33}{220}$$

Add 69340 and 33 to get 69373.

$$\frac{69373}{220}$$

Factor

$$\frac{173 \cdot 401}{2 ^ {2} \cdot 5 \cdot 11} = 315\frac{73}{220} = 315.33181818181816$$