Solve 5/8:3/7=x:1/7

$$\frac { 5 } { 8 } : \frac { 3 } { 7 } = x : \frac { 1 } { 7 }$$

Solve for x

$$x=\frac{5}{24}\approx 0.208333333$$

Steps for Solving Linear Equation

Divide \frac{5}{8} by \frac{3}{7} by multiplying \frac{5}{8} by the reciprocal of \frac{3}{7}.

$$\frac{5}{8}\times \frac{7}{3}=\frac{x}{\frac{1}{7}}$$

Multiply \frac{5}{8} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{8\times 3}=\frac{x}{\frac{1}{7}}$$

Do the multiplications in the fraction \frac{5\times 7}{8\times 3}.

$$\frac{35}{24}=\frac{x}{\frac{1}{7}}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{\frac{1}{7}}=\frac{35}{24}$$

Multiply both sides by \frac{1}{7}.

$$x=\frac{35}{24}\times \frac{1}{7}$$

Multiply \frac{35}{24} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{35\times 1}{24\times 7}$$

Do the multiplications in the fraction \frac{35\times 1}{24\times 7}.

$$x=\frac{35}{168}$$

Reduce the fraction \frac{35}{168} to lowest terms by extracting and canceling out 7.

$$x=\frac{5}{24}$$