Solve (1-1/3div4/7)*3/10

$$( 1 - \frac { 1 } { 3 } \div \frac { 4 } { 7 } ) \times \frac { 3 } { 10 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Divide \frac{1}{3} by \frac{4}{7} by multiplying \frac{1}{3} by the reciprocal of \frac{4}{7}.

$$\left(1-\frac{1}{3}\times \frac{7}{4}\right)\times \frac{3}{10}$$

Multiply \frac{1}{3} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\left(1-\frac{1\times 7}{3\times 4}\right)\times \frac{3}{10}$$

Do the multiplications in the fraction \frac{1\times 7}{3\times 4}.

$$\left(1-\frac{7}{12}\right)\times \frac{3}{10}$$

Convert 1 to fraction \frac{12}{12}.

$$\left(\frac{12}{12}-\frac{7}{12}\right)\times \frac{3}{10}$$

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

$$\frac{12-7}{12}\times \frac{3}{10}$$

Subtract 7 from 12 to get 5.

$$\frac{5}{12}\times \frac{3}{10}$$

Multiply \frac{5}{12} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{12\times 10}$$

Do the multiplications in the fraction \frac{5\times 3}{12\times 10}.

$$\frac{15}{120}$$

Reduce the fraction \frac{15}{120} to lowest terms by extracting and canceling out 15.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$