Solve 4/5-1/6:2/7=

$$\frac { 4 } { 5 } - \frac { 1 } { 6 } : \frac { 2 } { 7 } =$$

Evaluate

$$\frac{13}{60}\approx 0.216666667$$

Solution Steps

Divide \frac{1}{6} by \frac{2}{7} by multiplying \frac{1}{6} by the reciprocal of \frac{2}{7}.

$$\frac{4}{5}-\frac{1}{6}\times \frac{7}{2}$$

Multiply \frac{1}{6} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}-\frac{1\times 7}{6\times 2}$$

Do the multiplications in the fraction \frac{1\times 7}{6\times 2}.

$$\frac{4}{5}-\frac{7}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{4}{5} and \frac{7}{12} to fractions with denominator 60.

$$\frac{48}{60}-\frac{35}{60}$$

Since \frac{48}{60} and \frac{35}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-35}{60}$$

Subtract 35 from 48 to get 13.

$$\frac{13}{60}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3 \cdot 5} = 0.21666666666666667$$