Solve 22/7*4.2+4.2*12

$$\frac{ 22 }{ 7 } \times 4.2+4.2 \times 12$$

Evaluate

$$63.6$$

Solution Steps

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}\times \frac{21}{5}+4.2\times 12$$

Multiply \frac{22}{7} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 21}{7\times 5}+4.2\times 12$$

Do the multiplications in the fraction \frac{22\times 21}{7\times 5}.

$$\frac{462}{35}+4.2\times 12$$

Reduce the fraction \frac{462}{35} to lowest terms by extracting and canceling out 7.

$$\frac{66}{5}+4.2\times 12$$

Multiply 4.2 and 12 to get 50.4.

$$\frac{66}{5}+50.4$$

Convert decimal number 50.4 to fraction \frac{504}{10}. Reduce the fraction \frac{504}{10} to lowest terms by extracting and canceling out 2.

$$\frac{66}{5}+\frac{252}{5}$$

Since \frac{66}{5} and \frac{252}{5} have the same denominator, add them by adding their numerators.

$$\frac{66+252}{5}$$

Add 66 and 252 to get 318.

$$\frac{318}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 53}{5} = 63\frac{3}{5} = 63.6$$