Solve 1111/4*51/3:25/12

$$111 \frac { 1 } { 4 } \times 5 \frac { 1 } { 3 } : \frac { 25 } { 12 }$$

Evaluate

$$\frac{1424}{5}=284.8$$

Solution Steps

Multiply 111 and 4 to get 444.

$$\frac{\frac{444+1}{4}\times \frac{5\times 3+1}{3}}{\frac{25}{12}}$$

Add 444 and 1 to get 445.

$$\frac{\frac{445}{4}\times \frac{5\times 3+1}{3}}{\frac{25}{12}}$$

Multiply 5 and 3 to get 15.

$$\frac{\frac{445}{4}\times \frac{15+1}{3}}{\frac{25}{12}}$$

Add 15 and 1 to get 16.

$$\frac{\frac{445}{4}\times \frac{16}{3}}{\frac{25}{12}}$$

Multiply \frac{445}{4} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{445\times 16}{4\times 3}}{\frac{25}{12}}$$

Do the multiplications in the fraction \frac{445\times 16}{4\times 3}.

$$\frac{\frac{7120}{12}}{\frac{25}{12}}$$

Reduce the fraction \frac{7120}{12} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1780}{3}}{\frac{25}{12}}$$

Divide \frac{1780}{3} by \frac{25}{12} by multiplying \frac{1780}{3} by the reciprocal of \frac{25}{12}.

$$\frac{1780}{3}\times \frac{12}{25}$$

Multiply \frac{1780}{3} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1780\times 12}{3\times 25}$$

Do the multiplications in the fraction \frac{1780\times 12}{3\times 25}.

$$\frac{21360}{75}$$

Reduce the fraction \frac{21360}{75} to lowest terms by extracting and canceling out 15.

$$\frac{1424}{5}$$

Factor

$$\frac{2 ^ {4} \cdot 89}{5} = 284\frac{4}{5} = 284.8$$