Solve 83/4*21/3:31/4=

$$8 \frac { 3 } { 4 } \cdot 2 \frac { 1 } { 3 } : 3 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{245}{39}\approx 6.282051282$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{\frac{32+3}{4}\times \frac{2\times 3+1}{3}}{\frac{3\times 4+1}{4}}$$

Add 32 and 3 to get 35.

$$\frac{\frac{35}{4}\times \frac{2\times 3+1}{3}}{\frac{3\times 4+1}{4}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{35}{4}\times \frac{6+1}{3}}{\frac{3\times 4+1}{4}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{35}{4}\times \frac{7}{3}}{\frac{3\times 4+1}{4}}$$

Multiply \frac{35}{4} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{35\times 7}{4\times 3}}{\frac{3\times 4+1}{4}}$$

Do the multiplications in the fraction \frac{35\times 7}{4\times 3}.

$$\frac{\frac{245}{12}}{\frac{3\times 4+1}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{245}{12}}{\frac{12+1}{4}}$$

Add 12 and 1 to get 13.

$$\frac{\frac{245}{12}}{\frac{13}{4}}$$

Divide \frac{245}{12} by \frac{13}{4} by multiplying \frac{245}{12} by the reciprocal of \frac{13}{4}.

$$\frac{245}{12}\times \frac{4}{13}$$

Multiply \frac{245}{12} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{245\times 4}{12\times 13}$$

Do the multiplications in the fraction \frac{245\times 4}{12\times 13}.

$$\frac{980}{156}$$

Reduce the fraction \frac{980}{156} to lowest terms by extracting and canceling out 4.

$$\frac{245}{39}$$

Factor

$$\frac{5 \cdot 7 ^ {2}}{3 \cdot 13} = 6\frac{11}{39} = 6.282051282051282$$