Solve (52/7)(55/6)

$$(5 \frac{ 2 }{ 7 } )(5 \frac{ 5 }{ 6 } )$$

Evaluate

$$\frac{185}{6}\approx 30.833333333$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+2}{7}\times \frac{5\times 6+5}{6}$$

Add 35 and 2 to get 37.

$$\frac{37}{7}\times \frac{5\times 6+5}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{37}{7}\times \frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{37}{7}\times \frac{35}{6}$$

Multiply \frac{37}{7} times \frac{35}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 35}{7\times 6}$$

Do the multiplications in the fraction \frac{37\times 35}{7\times 6}.

$$\frac{1295}{42}$$

Reduce the fraction \frac{1295}{42} to lowest terms by extracting and canceling out 7.

$$\frac{185}{6}$$

Factor

$$\frac{5 \cdot 37}{2 \cdot 3} = 30\frac{5}{6} = 30.833333333333332$$