Solve 7/5text{of}58+3/8text{of}139.2=?

$$\frac { 7 } { 5 } \text { of } 58 + \frac { 3 } { 8 } \text { of } 139.2 = ?$$

Evaluate

$$133.4$$

Solution Steps

Express \frac{7}{5}\times 58 as a single fraction.

$$\frac{7\times 58}{5}+\frac{3}{8}\times 139.2$$

Multiply 7 and 58 to get 406.

$$\frac{406}{5}+\frac{3}{8}\times 139.2$$

Convert decimal number 139.2 to fraction \frac{1392}{10}. Reduce the fraction \frac{1392}{10} to lowest terms by extracting and canceling out 2.

$$\frac{406}{5}+\frac{3}{8}\times \frac{696}{5}$$

Multiply \frac{3}{8} times \frac{696}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{406}{5}+\frac{3\times 696}{8\times 5}$$

Do the multiplications in the fraction \frac{3\times 696}{8\times 5}.

$$\frac{406}{5}+\frac{2088}{40}$$

Reduce the fraction \frac{2088}{40} to lowest terms by extracting and canceling out 8.

$$\frac{406}{5}+\frac{261}{5}$$

Since \frac{406}{5} and \frac{261}{5} have the same denominator, add them by adding their numerators.

$$\frac{406+261}{5}$$

Add 406 and 261 to get 667.

$$\frac{667}{5}$$

Factor

$$\frac{23 \cdot 29}{5} = 133\frac{2}{5} = 133.4$$