Solve 1/3*(3.5^2)*7

$$\frac{ 1 }{ 3 } \times ( { 3.5 }^{ 2 } ) \times 7$$

Evaluate

$$\frac{343}{12}\approx 28.583333333$$

Solution Steps

Calculate 3.5 to the power of 2 and get 12.25.

$$\frac{1}{3}\times 12.25\times 7$$

Convert decimal number 12.25 to fraction \frac{1225}{100}. Reduce the fraction \frac{1225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{3}\times \frac{49}{4}\times 7$$

Multiply \frac{1}{3} times \frac{49}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{3\times 4}\times 7$$

Do the multiplications in the fraction \frac{1\times 49}{3\times 4}.

$$\frac{49}{12}\times 7$$

Express \frac{49}{12}\times 7 as a single fraction.

$$\frac{49\times 7}{12}$$

Multiply 49 and 7 to get 343.

$$\frac{343}{12}$$

Factor

$$\frac{7 ^ {3}}{3 \cdot 2 ^ {2}} = 28\frac{7}{12} = 28.583333333333332$$