Solve 2/15div3/16*1/3+7/11

$$\frac { 2 } { 15 } \div \frac { 3 } { 16 } \times \frac { 1 } { 3 } + \frac { 7 } { 11 }$$

Evaluate

$$\frac{1297}{1485}\approx 0.873400673$$

Solution Steps

Divide \frac{2}{15} by \frac{3}{16} by multiplying \frac{2}{15} by the reciprocal of \frac{3}{16}.

$$\frac{2}{15}\times \frac{16}{3}\times \frac{1}{3}+\frac{7}{11}$$

Multiply \frac{2}{15} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 16}{15\times 3}\times \frac{1}{3}+\frac{7}{11}$$

Do the multiplications in the fraction \frac{2\times 16}{15\times 3}.

$$\frac{32}{45}\times \frac{1}{3}+\frac{7}{11}$$

Multiply \frac{32}{45} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 1}{45\times 3}+\frac{7}{11}$$

Do the multiplications in the fraction \frac{32\times 1}{45\times 3}.

$$\frac{32}{135}+\frac{7}{11}$$

Least common multiple of 135 and 11 is 1485. Convert \frac{32}{135} and \frac{7}{11} to fractions with denominator 1485.

$$\frac{352}{1485}+\frac{945}{1485}$$

Since \frac{352}{1485} and \frac{945}{1485} have the same denominator, add them by adding their numerators.

$$\frac{352+945}{1485}$$

Add 352 and 945 to get 1297.

$$\frac{1297}{1485}$$

Factor

$$\frac{1297}{3 ^ {3} \cdot 5 \cdot 11} = 0.8734006734006734$$