Solve 10*7+22/7*7/2*7/2*1/2

$$10 \times 7+ \frac{ 22 }{ 7 } \times \frac{ 7 }{ 2 } \times \frac{ 7 }{ 2 } \times \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{357}{4}=89.25$$

Solution Steps

Multiply 10 and 7 to get 70.

$$70+\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{1}{2}$$

Multiply \frac{22}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$70+\frac{22\times 7}{7\times 2}\times \frac{7}{2}\times \frac{1}{2}$$

Cancel out 7 in both numerator and denominator.

$$70+\frac{22}{2}\times \frac{7}{2}\times \frac{1}{2}$$

Divide 22 by 2 to get 11.

$$70+11\times \frac{7}{2}\times \frac{1}{2}$$

Express 11\times \frac{7}{2} as a single fraction.

$$70+\frac{11\times 7}{2}\times \frac{1}{2}$$

Multiply 11 and 7 to get 77.

$$70+\frac{77}{2}\times \frac{1}{2}$$

Multiply \frac{77}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$70+\frac{77\times 1}{2\times 2}$$

Do the multiplications in the fraction \frac{77\times 1}{2\times 2}.

$$70+\frac{77}{4}$$

Convert 70 to fraction \frac{280}{4}.

$$\frac{280}{4}+\frac{77}{4}$$

Since \frac{280}{4} and \frac{77}{4} have the same denominator, add them by adding their numerators.

$$\frac{280+77}{4}$$

Add 280 and 77 to get 357.

$$\frac{357}{4}$$

Factor

$$\frac{3 \cdot 7 \cdot 17}{2 ^ {2}} = 89\frac{1}{4} = 89.25$$