Solve 21/5-11/4*11/15

$$2 \frac { 1 } { 5 } - 1 \frac { 1 } { 4 } \times 1 \frac { 1 } { 15 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}-\frac{1\times 4+1}{4}\times \frac{1\times 15+1}{15}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}-\frac{1\times 4+1}{4}\times \frac{1\times 15+1}{15}$$

Multiply 1 and 4 to get 4.

$$\frac{11}{5}-\frac{4+1}{4}\times \frac{1\times 15+1}{15}$$

Add 4 and 1 to get 5.

$$\frac{11}{5}-\frac{5}{4}\times \frac{1\times 15+1}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{11}{5}-\frac{5}{4}\times \frac{15+1}{15}$$

Add 15 and 1 to get 16.

$$\frac{11}{5}-\frac{5}{4}\times \frac{16}{15}$$

Multiply \frac{5}{4} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{5}-\frac{5\times 16}{4\times 15}$$

Do the multiplications in the fraction \frac{5\times 16}{4\times 15}.

$$\frac{11}{5}-\frac{80}{60}$$

Reduce the fraction \frac{80}{60} to lowest terms by extracting and canceling out 20.

$$\frac{11}{5}-\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{11}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{33}{15}-\frac{20}{15}$$

Since \frac{33}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-20}{15}$$

Subtract 20 from 33 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$