Solve (2-7/6)div2/3

$$(2- \frac{ 7 }{ 6 } ) \div \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Convert 2 to fraction \frac{12}{6}.

$$\frac{\frac{12}{6}-\frac{7}{6}}{\frac{2}{3}}$$

Since \frac{12}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12-7}{6}}{\frac{2}{3}}$$

Subtract 7 from 12 to get 5.

$$\frac{\frac{5}{6}}{\frac{2}{3}}$$

Divide \frac{5}{6} by \frac{2}{3} by multiplying \frac{5}{6} by the reciprocal of \frac{2}{3}.

$$\frac{5}{6}\times \frac{3}{2}$$

Multiply \frac{5}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 2}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 2}.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$