Solve 102/3text{feetby}61/4

$$10 \frac { 2 } { 3 } \text { feet by } 6 \frac { 1 } { 4 }$$

Evaluate

$$\frac{200e^{2}bfty}{3}$$

Solution Steps

Multiply e and e to get e^{2}.

$$\frac{10\times 3+2}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{32}{3}fe^{2}tby\times \frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{32}{3}fe^{2}tby\times \frac{25}{4}$$

Multiply \frac{32}{3} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 25}{3\times 4}fe^{2}tby$$

Do the multiplications in the fraction \frac{32\times 25}{3\times 4}.

$$\frac{800}{12}fe^{2}tby$$

Reduce the fraction \frac{800}{12} to lowest terms by extracting and canceling out 4.

$$\frac{200}{3}fe^{2}tby$$

Expand

$$\frac{200e^{2}bfty}{3}$$

Solution Steps

Multiply e and e to get e^{2}.

$$\frac{10\times 3+2}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}fe^{2}tby\times \frac{6\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{32}{3}fe^{2}tby\times \frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{32}{3}fe^{2}tby\times \frac{25}{4}$$

Multiply \frac{32}{3} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 25}{3\times 4}fe^{2}tby$$

Do the multiplications in the fraction \frac{32\times 25}{3\times 4}.

$$\frac{800}{12}fe^{2}tby$$

Reduce the fraction \frac{800}{12} to lowest terms by extracting and canceling out 4.

$$\frac{200}{3}fe^{2}tby$$