Solve 3-11/12div24/21

$$3 - \frac { 11 } { 12 } \div 2 \frac { 4 } { 21 }$$

Evaluate

$$\frac{475}{184}\approx 2.581521739$$

Solution Steps

Divide \frac{11}{12} by \frac{2\times 21+4}{21} by multiplying \frac{11}{12} by the reciprocal of \frac{2\times 21+4}{21}.

$$3-\frac{11\times 21}{12\left(2\times 21+4\right)}$$

Cancel out 3 in both numerator and denominator.

$$3-\frac{7\times 11}{4\left(4+2\times 21\right)}$$

Multiply 7 and 11 to get 77.

$$3-\frac{77}{4\left(4+2\times 21\right)}$$

Multiply 2 and 21 to get 42.

$$3-\frac{77}{4\left(4+42\right)}$$

Add 4 and 42 to get 46.

$$3-\frac{77}{4\times 46}$$

Multiply 4 and 46 to get 184.

$$3-\frac{77}{184}$$

Convert 3 to fraction \frac{552}{184}.

$$\frac{552}{184}-\frac{77}{184}$$

Since \frac{552}{184} and \frac{77}{184} have the same denominator, subtract them by subtracting their numerators.

$$\frac{552-77}{184}$$

Subtract 77 from 552 to get 475.

$$\frac{475}{184}$$

Factor

$$\frac{5 ^ {2} \cdot 19}{2 ^ {3} \cdot 23} = 2\frac{107}{184} = 2.5815217391304346$$