Solve 11/10+51/15+4

$$\frac { 11 } { 10 } + 5 \frac { 1 } { 15 } + 4$$

Evaluate

$$\frac{61}{6}\approx 10.166666667$$

Solution Steps

Multiply 5 and 15 to get 75.

$$\frac{11}{10}+\frac{75+1}{15}+4$$

Add 75 and 1 to get 76.

$$\frac{11}{10}+\frac{76}{15}+4$$

Least common multiple of 10 and 15 is 30. Convert \frac{11}{10} and \frac{76}{15} to fractions with denominator 30.

$$\frac{33}{30}+\frac{152}{30}+4$$

Since \frac{33}{30} and \frac{152}{30} have the same denominator, add them by adding their numerators.

$$\frac{33+152}{30}+4$$

Add 33 and 152 to get 185.

$$\frac{185}{30}+4$$

Reduce the fraction \frac{185}{30} to lowest terms by extracting and canceling out 5.

$$\frac{37}{6}+4$$

Convert 4 to fraction \frac{24}{6}.

$$\frac{37}{6}+\frac{24}{6}$$

Since \frac{37}{6} and \frac{24}{6} have the same denominator, add them by adding their numerators.

$$\frac{37+24}{6}$$

Add 37 and 24 to get 61.

$$\frac{61}{6}$$

Factor

$$\frac{61}{2 \cdot 3} = 10\frac{1}{6} = 10.166666666666666$$