Solve 72/7*104+2*1.4

$$\frac { 72 } { 7 } \times 104 + 2 \times 1.4$$

Evaluate

$$\frac{37538}{35}\approx 1072.514285714$$

Solution Steps

Express \frac{72}{7}\times 104 as a single fraction.

$$\frac{72\times 104}{7}+2\times 1.4$$

Multiply 72 and 104 to get 7488.

$$\frac{7488}{7}+2\times 1.4$$

Multiply 2 and 1.4 to get 2.8.

$$\frac{7488}{7}+2.8$$

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.

$$\frac{7488}{7}+\frac{14}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{7488}{7} and \frac{14}{5} to fractions with denominator 35.

$$\frac{37440}{35}+\frac{98}{35}$$

Since \frac{37440}{35} and \frac{98}{35} have the same denominator, add them by adding their numerators.

$$\frac{37440+98}{35}$$

Add 37440 and 98 to get 37538.

$$\frac{37538}{35}$$

Factor

$$\frac{2 \cdot 137 ^ {2}}{5 \cdot 7} = 1072\frac{18}{35} = 1072.5142857142857$$