Solve 3(1/4)+4(1/2)-6(1/2)*(1/3)

$$3 ( \frac { 1 } { 4 } ) + 4 ( \frac { 1 } { 2 } ) - 6 ( \frac { 1 } { 2 } ) \times ( \frac { 1 } { 3 } )$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{3}{4}+4\times \frac{1}{2}-6\times \frac{1}{2}\times \frac{1}{3}$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$\frac{3}{4}+\frac{4}{2}-6\times \frac{1}{2}\times \frac{1}{3}$$

Divide 4 by 2 to get 2.

$$\frac{3}{4}+2-6\times \frac{1}{2}\times \frac{1}{3}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{3}{4}+\frac{8}{4}-6\times \frac{1}{2}\times \frac{1}{3}$$

Since \frac{3}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{4}-6\times \frac{1}{2}\times \frac{1}{3}$$

Add 3 and 8 to get 11.

$$\frac{11}{4}-6\times \frac{1}{2}\times \frac{1}{3}$$

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

$$\frac{11}{4}-\frac{6}{2}\times \frac{1}{3}$$

Divide 6 by 2 to get 3.

$$\frac{11}{4}-3\times \frac{1}{3}$$

Cancel out 3 and 3.

$$\frac{11}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{11}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 11 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$