Solve 4/5v<7/15

$$\frac { 4 } { 5 } v < \frac { 7 } { 15 }$$

Solve for v

$$v<\frac{7}{12}$$

Solution Steps

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}. Since \frac{4}{5} is positive, the inequality direction remains the same.

$$v<\frac{7}{15}\times \frac{5}{4}$$

Multiply \frac{7}{15} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$v<\frac{7\times 5}{15\times 4}$$

Do the multiplications in the fraction \frac{7\times 5}{15\times 4}.

$$v<\frac{35}{60}$$

Reduce the fraction \frac{35}{60} to lowest terms by extracting and canceling out 5.

$$v<\frac{7}{12}$$