Solve 42/7*11/9

$$4 \frac { 2 } { 7 } \cdot 1 \frac { 1 } { 9 }$$

Evaluate

$$\frac{100}{21}\approx 4.761904762$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+2}{7}\times \frac{1\times 9+1}{9}$$

Add 28 and 2 to get 30.

$$\frac{30}{7}\times \frac{1\times 9+1}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{30}{7}\times \frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{30}{7}\times \frac{10}{9}$$

Multiply \frac{30}{7} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30\times 10}{7\times 9}$$

Do the multiplications in the fraction \frac{30\times 10}{7\times 9}.

$$\frac{300}{63}$$

Reduce the fraction \frac{300}{63} to lowest terms by extracting and canceling out 3.

$$\frac{100}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 7} = 4\frac{16}{21} = 4.761904761904762$$