Solve (13/4-3/16)*11/2

$$( 1 \frac { 3 } { 4 } - \frac { 3 } { 16 } ) \times 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{75}{32}=2.34375$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\left(\frac{4+3}{4}-\frac{3}{16}\right)\times \frac{1\times 2+1}{2}$$

Add 4 and 3 to get 7.

$$\left(\frac{7}{4}-\frac{3}{16}\right)\times \frac{1\times 2+1}{2}$$

Least common multiple of 4 and 16 is 16. Convert \frac{7}{4} and \frac{3}{16} to fractions with denominator 16.

$$\left(\frac{28}{16}-\frac{3}{16}\right)\times \frac{1\times 2+1}{2}$$

Since \frac{28}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-3}{16}\times \frac{1\times 2+1}{2}$$

Subtract 3 from 28 to get 25.

$$\frac{25}{16}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{25}{16}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{25}{16}\times \frac{3}{2}$$

Multiply \frac{25}{16} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{16\times 2}$$

Do the multiplications in the fraction \frac{25\times 3}{16\times 2}.

$$\frac{75}{32}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {5}} = 2\frac{11}{32} = 2.34375$$