Solve 1.24/5div7/12=

$$1.2 \frac { 4 } { 5 } \div \frac { 7 } { 12 } =$$

Evaluate

$$\frac{24}{7}\approx 3.428571429$$

Solution Steps

Divide \frac{1.2\times 5+4}{5} by \frac{7}{12} by multiplying \frac{1.2\times 5+4}{5} by the reciprocal of \frac{7}{12}.

$$\frac{\left(1.2\times 5+4\right)\times 12}{5\times 7}$$

Multiply 1.2 and 5 to get 6.

$$\frac{\left(6+4\right)\times 12}{5\times 7}$$

Add 6 and 4 to get 10.

$$\frac{10\times 12}{5\times 7}$$

Multiply 10 and 12 to get 120.

$$\frac{120}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{120}{35}$$

Reduce the fraction \frac{120}{35} to lowest terms by extracting and canceling out 5.

$$\frac{24}{7}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{7} = 3\frac{3}{7} = 3.4285714285714284$$