Solve 118/66*240/49

$$1 \frac { 18 } { 66 } \times 2 \frac { 40 } { 49 }$$

Evaluate

$$\frac{276}{77}\approx 3.584415584$$

Solution Steps

Multiply 1 and 66 to get 66.

$$\frac{66+18}{66}\times \frac{2\times 49+40}{49}$$

Add 66 and 18 to get 84.

$$\frac{84}{66}\times \frac{2\times 49+40}{49}$$

Reduce the fraction \frac{84}{66} to lowest terms by extracting and canceling out 6.

$$\frac{14}{11}\times \frac{2\times 49+40}{49}$$

Multiply 2 and 49 to get 98.

$$\frac{14}{11}\times \frac{98+40}{49}$$

Add 98 and 40 to get 138.

$$\frac{14}{11}\times \frac{138}{49}$$

Multiply \frac{14}{11} times \frac{138}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 138}{11\times 49}$$

Do the multiplications in the fraction \frac{14\times 138}{11\times 49}.

$$\frac{1932}{539}$$

Reduce the fraction \frac{1932}{539} to lowest terms by extracting and canceling out 7.

$$\frac{276}{77}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 23}{7 \cdot 11} = 3\frac{45}{77} = 3.5844155844155843$$