Solve 51/7*2.8-13

$$5 \frac { 1 } { 7 } \times 2.8 - 13$$

Evaluate

$$1.4$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+1}{7}\times 2.8-13$$

Add 35 and 1 to get 36.

$$\frac{36}{7}\times 2.8-13$$

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.

$$\frac{36}{7}\times \frac{14}{5}-13$$

Multiply \frac{36}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 14}{7\times 5}-13$$

Do the multiplications in the fraction \frac{36\times 14}{7\times 5}.

$$\frac{504}{35}-13$$

Reduce the fraction \frac{504}{35} to lowest terms by extracting and canceling out 7.

$$\frac{72}{5}-13$$

Convert 13 to fraction \frac{65}{5}.

$$\frac{72}{5}-\frac{65}{5}$$

Since \frac{72}{5} and \frac{65}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-65}{5}$$

Subtract 65 from 72 to get 7.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$