Solve 4/5:7/11-5/14=

$$\frac { 4 } { 5 } : \frac { 7 } { 11 } - \frac { 5 } { 14 } =$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Divide \frac{4}{5} by \frac{7}{11} by multiplying \frac{4}{5} by the reciprocal of \frac{7}{11}.

$$\frac{4}{5}\times \frac{11}{7}-\frac{5}{14}$$

Multiply \frac{4}{5} times \frac{11}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 11}{5\times 7}-\frac{5}{14}$$

Do the multiplications in the fraction \frac{4\times 11}{5\times 7}.

$$\frac{44}{35}-\frac{5}{14}$$

Least common multiple of 35 and 14 is 70. Convert \frac{44}{35} and \frac{5}{14} to fractions with denominator 70.

$$\frac{88}{70}-\frac{25}{70}$$

Since \frac{88}{70} and \frac{25}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-25}{70}$$

Subtract 25 from 88 to get 63.

$$\frac{63}{70}$$

Reduce the fraction \frac{63}{70} to lowest terms by extracting and canceling out 7.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$