Solve (2/5+1/3)*11/4

$$( \frac { 2 } { 5 } + \frac { 1 } { 3 } ) \times 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{1}{3} to fractions with denominator 15.

$$\left(\frac{6}{15}+\frac{5}{15}\right)\times \frac{1\times 4+1}{4}$$

Since \frac{6}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{15}\times \frac{1\times 4+1}{4}$$

Add 6 and 5 to get 11.

$$\frac{11}{15}\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{11}{15}\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{11}{15}\times \frac{5}{4}$$

Multiply \frac{11}{15} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 5}{15\times 4}$$

Do the multiplications in the fraction \frac{11\times 5}{15\times 4}.

$$\frac{55}{60}$$

Reduce the fraction \frac{55}{60} to lowest terms by extracting and canceling out 5.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$