Solve 1/3(21/4*11/5-17/20)

$$\frac { 1 } { 3 } ( 2 \frac { 1 } { 4 } \cdot 1 \frac { 1 } { 5 } - \frac { 17 } { 20 } )$$

Evaluate

$$\frac{37}{60}\approx 0.616666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{1}{3}\left(\frac{8+1}{4}\times \frac{1\times 5+1}{5}-\frac{17}{20}\right)$$

Add 8 and 1 to get 9.

$$\frac{1}{3}\left(\frac{9}{4}\times \frac{1\times 5+1}{5}-\frac{17}{20}\right)$$

Multiply 1 and 5 to get 5.

$$\frac{1}{3}\left(\frac{9}{4}\times \frac{5+1}{5}-\frac{17}{20}\right)$$

Add 5 and 1 to get 6.

$$\frac{1}{3}\left(\frac{9}{4}\times \frac{6}{5}-\frac{17}{20}\right)$$

Multiply \frac{9}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}\left(\frac{9\times 6}{4\times 5}-\frac{17}{20}\right)$$

Do the multiplications in the fraction \frac{9\times 6}{4\times 5}.

$$\frac{1}{3}\left(\frac{54}{20}-\frac{17}{20}\right)$$

Since \frac{54}{20} and \frac{17}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}\times \frac{54-17}{20}$$

Subtract 17 from 54 to get 37.

$$\frac{1}{3}\times \frac{37}{20}$$

Multiply \frac{1}{3} times \frac{37}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 37}{3\times 20}$$

Do the multiplications in the fraction \frac{1\times 37}{3\times 20}.

$$\frac{37}{60}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 \cdot 5} = 0.6166666666666667$$