Solve 752/2+7/2divsqrt{196}

$$\frac{ 752 }{ 2 } + \frac{ 7 }{ 2 } \div \sqrt{ 196 }$$

Evaluate

$$\frac{1505}{4}=376.25$$

Solution Steps

Divide 752 by 2 to get 376.

$$376+\frac{\frac{7}{2}}{\sqrt{196}}$$

Calculate the square root of 196 and get 14.

$$376+\frac{\frac{7}{2}}{14}$$

Express \frac{\frac{7}{2}}{14} as a single fraction.

$$376+\frac{7}{2\times 14}$$

Multiply 2 and 14 to get 28.

$$376+\frac{7}{28}$$

Reduce the fraction \frac{7}{28} to lowest terms by extracting and canceling out 7.

$$376+\frac{1}{4}$$

Convert 376 to fraction \frac{1504}{4}.

$$\frac{1504}{4}+\frac{1}{4}$$

Since \frac{1504}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{1504+1}{4}$$

Add 1504 and 1 to get 1505.

$$\frac{1505}{4}$$

Factor

$$\frac{5 \cdot 7 \cdot 43}{2 ^ {2}} = 376\frac{1}{4} = 376.25$$