Solve 41/6*11/35

$$4 \frac { 1 } { 6 } \times 1 \frac { 1 } { 35 }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+1}{6}\times \frac{1\times 35+1}{35}$$

Add 24 and 1 to get 25.

$$\frac{25}{6}\times \frac{1\times 35+1}{35}$$

Multiply 1 and 35 to get 35.

$$\frac{25}{6}\times \frac{35+1}{35}$$

Add 35 and 1 to get 36.

$$\frac{25}{6}\times \frac{36}{35}$$

Multiply \frac{25}{6} times \frac{36}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 36}{6\times 35}$$

Do the multiplications in the fraction \frac{25\times 36}{6\times 35}.

$$\frac{900}{210}$$

Reduce the fraction \frac{900}{210} to lowest terms by extracting and canceling out 30.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$