Solve 82/7*45/6

$$8 \frac { 2 } { 7 } \times 4 \frac { 5 } { 6 }$$

Evaluate

$$\frac{841}{21}\approx 40.047619048$$

Solution Steps

Multiply 8 and 7 to get 56.

$$\frac{56+2}{7}\times \frac{4\times 6+5}{6}$$

Add 56 and 2 to get 58.

$$\frac{58}{7}\times \frac{4\times 6+5}{6}$$

Multiply 4 and 6 to get 24.

$$\frac{58}{7}\times \frac{24+5}{6}$$

Add 24 and 5 to get 29.

$$\frac{58}{7}\times \frac{29}{6}$$

Multiply \frac{58}{7} times \frac{29}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{58\times 29}{7\times 6}$$

Do the multiplications in the fraction \frac{58\times 29}{7\times 6}.

$$\frac{1682}{42}$$

Reduce the fraction \frac{1682}{42} to lowest terms by extracting and canceling out 2.

$$\frac{841}{21}$$

Factor

$$\frac{29 ^ {2}}{3 \cdot 7} = 40\frac{1}{21} = 40.04761904761905$$