Solve 39/10+213/15=

$$3 \frac { 9 } { 10 } + 2 \frac { 13 } { 15 } =$$

Evaluate

$$\frac{203}{30}\approx 6.766666667$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+9}{10}+\frac{2\times 15+13}{15}$$

Add 30 and 9 to get 39.

$$\frac{39}{10}+\frac{2\times 15+13}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{39}{10}+\frac{30+13}{15}$$

Add 30 and 13 to get 43.

$$\frac{39}{10}+\frac{43}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{39}{10} and \frac{43}{15} to fractions with denominator 30.

$$\frac{117}{30}+\frac{86}{30}$$

Since \frac{117}{30} and \frac{86}{30} have the same denominator, add them by adding their numerators.

$$\frac{117+86}{30}$$

Add 117 and 86 to get 203.

$$\frac{203}{30}$$

Factor

$$\frac{7 \cdot 29}{2 \cdot 3 \cdot 5} = 6\frac{23}{30} = 6.766666666666667$$