Solve 22/7*3.52/3(8.1796+0.9025+2.717)

$$\frac{ 22 }{ 7 } \times \frac{ 3.52 }{ 3 } (8.1796+0.9025+2.717)$$

Evaluate

$$\frac{14276911}{328125}\approx 43.510585905$$

Solution Steps

Expand \frac{3.52}{3} by multiplying both numerator and the denominator by 100.

$$\frac{22}{7}\times \frac{352}{300}\left(8.1796+0.9025+2.717\right)$$

Reduce the fraction \frac{352}{300} to lowest terms by extracting and canceling out 4.

$$\frac{22}{7}\times \frac{88}{75}\left(8.1796+0.9025+2.717\right)$$

Multiply \frac{22}{7} times \frac{88}{75} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 88}{7\times 75}\left(8.1796+0.9025+2.717\right)$$

Do the multiplications in the fraction \frac{22\times 88}{7\times 75}.

$$\frac{1936}{525}\left(8.1796+0.9025+2.717\right)$$

Add 8.1796 and 0.9025 to get 9.0821.

$$\frac{1936}{525}\left(9.0821+2.717\right)$$

Add 9.0821 and 2.717 to get 11.7991.

$$\frac{1936}{525}\times 11.7991$$

Convert decimal number 11.7991 to fraction \frac{117991}{10000}.

$$\frac{1936}{525}\times \frac{117991}{10000}$$

Multiply \frac{1936}{525} times \frac{117991}{10000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1936\times 117991}{525\times 10000}$$

Do the multiplications in the fraction \frac{1936\times 117991}{525\times 10000}.

$$\frac{228430576}{5250000}$$

Reduce the fraction \frac{228430576}{5250000} to lowest terms by extracting and canceling out 16.

$$\frac{14276911}{328125}$$

Factor

$$\frac{117991 \cdot 11 ^ {2}}{3 \cdot 7 \cdot 5 ^ {6}} = 43\frac{167536}{328125} = 43.5105859047619$$