Solve 5*(7+4)-9div2(5/4)

$$5 \times ( 7 + 4 ) - 9 \div 2 ( \frac { 5 } { 4 } )$$

Evaluate

$$\frac{395}{8}=49.375$$

Solution Steps

Add 7 and 4 to get 11.

$$5\times 11-\frac{9}{2}\times \frac{5}{4}$$

Multiply 5 and 11 to get 55.

$$55-\frac{9}{2}\times \frac{5}{4}$$

Multiply \frac{9}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$55-\frac{9\times 5}{2\times 4}$$

Do the multiplications in the fraction \frac{9\times 5}{2\times 4}.

$$55-\frac{45}{8}$$

Convert 55 to fraction \frac{440}{8}.

$$\frac{440}{8}-\frac{45}{8}$$

Since \frac{440}{8} and \frac{45}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{440-45}{8}$$

Subtract 45 from 440 to get 395.

$$\frac{395}{8}$$

Factor

$$\frac{5 \cdot 79}{2 ^ {3}} = 49\frac{3}{8} = 49.375$$