Solve (2/15+3/10)*25/11*6/5

$$( \frac { 2 } { 15 } + \frac { 3 } { 10 } ) \times \frac { 25 } { 11 } \times \frac { 6 } { 5 }$$

Evaluate

$$\frac{13}{11}\approx 1.181818182$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{2}{15} and \frac{3}{10} to fractions with denominator 30.

$$\left(\frac{4}{30}+\frac{9}{30}\right)\times \frac{25}{11}\times \frac{6}{5}$$

Since \frac{4}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{4+9}{30}\times \frac{25}{11}\times \frac{6}{5}$$

Add 4 and 9 to get 13.

$$\frac{13}{30}\times \frac{25}{11}\times \frac{6}{5}$$

Multiply \frac{13}{30} times \frac{25}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 25}{30\times 11}\times \frac{6}{5}$$

Do the multiplications in the fraction \frac{13\times 25}{30\times 11}.

$$\frac{325}{330}\times \frac{6}{5}$$

Reduce the fraction \frac{325}{330} to lowest terms by extracting and canceling out 5.

$$\frac{65}{66}\times \frac{6}{5}$$

Multiply \frac{65}{66} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 6}{66\times 5}$$

Do the multiplications in the fraction \frac{65\times 6}{66\times 5}.

$$\frac{390}{330}$$

Reduce the fraction \frac{390}{330} to lowest terms by extracting and canceling out 30.

$$\frac{13}{11}$$

Factor

$$\frac{13}{11} = 1\frac{2}{11} = 1.1818181818181819$$