Solve (1/2*10.5)*(1/2*8.75)*pi=

$$( \frac { 1 } { 2 } \times 10.5 ) \times ( \frac { 1 } { 2 } \times 8.75 ) \times \pi =$$

Evaluate

$$\frac{735\pi }{32}\approx 72.158456262$$

Solution Steps

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{21}{2}\times \frac{1}{2}\times 8.75\pi$$

Multiply \frac{1}{2} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{2\times 2}\times \frac{1}{2}\times 8.75\pi$$

Do the multiplications in the fraction \frac{1\times 21}{2\times 2}.

$$\frac{21}{4}\times \frac{1}{2}\times 8.75\pi$$

Multiply \frac{21}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 1}{4\times 2}\times 8.75\pi$$

Do the multiplications in the fraction \frac{21\times 1}{4\times 2}.

$$\frac{21}{8}\times 8.75\pi$$

Convert decimal number 8.75 to fraction \frac{875}{100}. Reduce the fraction \frac{875}{100} to lowest terms by extracting and canceling out 25.

$$\frac{21}{8}\times \frac{35}{4}\pi$$

Multiply \frac{21}{8} times \frac{35}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 35}{8\times 4}\pi$$

Do the multiplications in the fraction \frac{21\times 35}{8\times 4}.

$$\frac{735}{32}\pi$$