Solve 22/7*1.4+2*1.4

$$\frac { 22 } { 7 } \times 1.4 + 2 \times 1.4$$

Evaluate

$$7.2$$

Solution Steps

Convert decimal number 1.4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}\times \frac{7}{5}+2\times 1.4$$

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

$$\frac{22\times 7}{7\times 5}+2\times 1.4$$

Cancel out 7 in both numerator and denominator.

$$\frac{22}{5}+2\times 1.4$$

Multiply 2 and 1.4 to get 2.8.

$$\frac{22}{5}+2.8$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{5}+\frac{14}{5}$$

Since \frac{22}{5} and \frac{14}{5} have the same denominator, add them by adding their numerators.

$$\frac{22+14}{5}$$

Add 22 and 14 to get 36.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$