Solve 23/10*46/7*71/2=?

$$2 \frac { 3 } { 10 } \times 4 \frac { 6 } { 7 } \times 7 \frac { 1 } { 2 } = ?$$

Evaluate

$$\frac{1173}{14}\approx 83.785714286$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+3}{10}\times \frac{4\times 7+6}{7}\times \frac{7\times 2+1}{2}$$

Add 20 and 3 to get 23.

$$\frac{23}{10}\times \frac{4\times 7+6}{7}\times \frac{7\times 2+1}{2}$$

Multiply 4 and 7 to get 28.

$$\frac{23}{10}\times \frac{28+6}{7}\times \frac{7\times 2+1}{2}$$

Add 28 and 6 to get 34.

$$\frac{23}{10}\times \frac{34}{7}\times \frac{7\times 2+1}{2}$$

Multiply \frac{23}{10} times \frac{34}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 34}{10\times 7}\times \frac{7\times 2+1}{2}$$

Do the multiplications in the fraction \frac{23\times 34}{10\times 7}.

$$\frac{782}{70}\times \frac{7\times 2+1}{2}$$

Reduce the fraction \frac{782}{70} to lowest terms by extracting and canceling out 2.

$$\frac{391}{35}\times \frac{7\times 2+1}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{391}{35}\times \frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$\frac{391}{35}\times \frac{15}{2}$$

Multiply \frac{391}{35} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{391\times 15}{35\times 2}$$

Do the multiplications in the fraction \frac{391\times 15}{35\times 2}.

$$\frac{5865}{70}$$

Reduce the fraction \frac{5865}{70} to lowest terms by extracting and canceling out 5.

$$\frac{1173}{14}$$

Factor

$$\frac{3 \cdot 17 \cdot 23}{2 \cdot 7} = 83\frac{11}{14} = 83.78571428571429$$