Solve 7.62/64*61/6

$$7.6 \frac { 2 } { 64 } \cdot 6 \frac { 1 } { 6 }$$

Evaluate

$$47.059375$$

Solution Steps

Multiply 7.6 and 64 to get 486.4.

$$\frac{486.4+2}{64}\times \frac{6\times 6+1}{6}$$

Add 486.4 and 2 to get 488.4.

$$\frac{488.4}{64}\times \frac{6\times 6+1}{6}$$

Expand \frac{488.4}{64} by multiplying both numerator and the denominator by 10.

$$\frac{4884}{640}\times \frac{6\times 6+1}{6}$$

Reduce the fraction \frac{4884}{640} to lowest terms by extracting and canceling out 4.

$$\frac{1221}{160}\times \frac{6\times 6+1}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{1221}{160}\times \frac{36+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{1221}{160}\times \frac{37}{6}$$

Multiply \frac{1221}{160} times \frac{37}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1221\times 37}{160\times 6}$$

Do the multiplications in the fraction \frac{1221\times 37}{160\times 6}.

$$\frac{45177}{960}$$

Reduce the fraction \frac{45177}{960} to lowest terms by extracting and canceling out 3.

$$\frac{15059}{320}$$

Factor

$$\frac{11 \cdot 37 ^ {2}}{5 \cdot 2 ^ {6}} = 47\frac{19}{320} = 47.059375$$