Solve 51/14-4.6div81/20

$$\frac { 51 } { 14 } - 4.6 \div 8 \frac { 1 } { 20 }$$

Evaluate

$$\frac{43}{14}\approx 3.071428571$$

Solution Steps

Divide 4.6 by \frac{8\times 20+1}{20} by multiplying 4.6 by the reciprocal of \frac{8\times 20+1}{20}.

$$\frac{51}{14}-\frac{4.6\times 20}{8\times 20+1}$$

Multiply 4.6 and 20 to get 92.

$$\frac{51}{14}-\frac{92}{8\times 20+1}$$

Multiply 8 and 20 to get 160.

$$\frac{51}{14}-\frac{92}{160+1}$$

Add 160 and 1 to get 161.

$$\frac{51}{14}-\frac{92}{161}$$

Reduce the fraction \frac{92}{161} to lowest terms by extracting and canceling out 23.

$$\frac{51}{14}-\frac{4}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{51}{14} and \frac{4}{7} to fractions with denominator 14.

$$\frac{51}{14}-\frac{8}{14}$$

Since \frac{51}{14} and \frac{8}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-8}{14}$$

Subtract 8 from 51 to get 43.

$$\frac{43}{14}$$

Factor

$$\frac{43}{2 \cdot 7} = 3\frac{1}{14} = 3.0714285714285716$$