Solve (3)21/2+37/15

$$( 3 ) 2 \frac { 1 } { 2 } + 3 \frac { 7 } { 15 }$$

Evaluate

$$\frac{329}{30}\approx 10.966666667$$

Solution Steps

Multiply 2 and 2 to get 4.

$$3\times \frac{4+1}{2}+\frac{3\times 15+7}{15}$$

Add 4 and 1 to get 5.

$$3\times \frac{5}{2}+\frac{3\times 15+7}{15}$$

Express 3\times \frac{5}{2} as a single fraction.

$$\frac{3\times 5}{2}+\frac{3\times 15+7}{15}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{2}+\frac{3\times 15+7}{15}$$

Multiply 3 and 15 to get 45.

$$\frac{15}{2}+\frac{45+7}{15}$$

Add 45 and 7 to get 52.

$$\frac{15}{2}+\frac{52}{15}$$

Least common multiple of 2 and 15 is 30. Convert \frac{15}{2} and \frac{52}{15} to fractions with denominator 30.

$$\frac{225}{30}+\frac{104}{30}$$

Since \frac{225}{30} and \frac{104}{30} have the same denominator, add them by adding their numerators.

$$\frac{225+104}{30}$$

Add 225 and 104 to get 329.

$$\frac{329}{30}$$

Factor

$$\frac{7 \cdot 47}{2 \cdot 3 \cdot 5} = 10\frac{29}{30} = 10.966666666666667$$