Solve 23/4*24/5-11/2div31/3

$$2 \frac { 3 } { 4 } \times 2 \frac { 4 } { 5 } - 1 \frac { 1 } { 2 } \div 3 \frac { 1 } { 3 }$$

Evaluate

$$\frac{29}{4}=7.25$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}\times \frac{2\times 5+4}{5}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}\times \frac{2\times 5+4}{5}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Multiply 2 and 5 to get 10.

$$\frac{11}{4}\times \frac{10+4}{5}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Add 10 and 4 to get 14.

$$\frac{11}{4}\times \frac{14}{5}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Multiply \frac{11}{4} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 14}{4\times 5}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{11\times 14}{4\times 5}.

$$\frac{154}{20}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Reduce the fraction \frac{154}{20} to lowest terms by extracting and canceling out 2.

$$\frac{77}{10}-\frac{\frac{1\times 2+1}{2}}{\frac{3\times 3+1}{3}}$$

Divide \frac{1\times 2+1}{2} by \frac{3\times 3+1}{3} by multiplying \frac{1\times 2+1}{2} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{77}{10}-\frac{\left(1\times 2+1\right)\times 3}{2\left(3\times 3+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{77}{10}-\frac{\left(2+1\right)\times 3}{2\left(3\times 3+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{77}{10}-\frac{3\times 3}{2\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{77}{10}-\frac{9}{2\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{77}{10}-\frac{9}{2\left(9+1\right)}$$

Add 9 and 1 to get 10.

$$\frac{77}{10}-\frac{9}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$\frac{77}{10}-\frac{9}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{77}{10} and \frac{9}{20} to fractions with denominator 20.

$$\frac{154}{20}-\frac{9}{20}$$

Since \frac{154}{20} and \frac{9}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{154-9}{20}$$

Subtract 9 from 154 to get 145.

$$\frac{145}{20}$$

Reduce the fraction \frac{145}{20} to lowest terms by extracting and canceling out 5.

$$\frac{29}{4}$$

Factor

$$\frac{29}{2 ^ {2}} = 7\frac{1}{4} = 7.25$$