Solve 3/4:7/8=x:21/2

$$\frac { 3 } { 4 } : \frac { 7 } { 8 } = x : \frac { 21 } { 2 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Divide \frac{3}{4} by \frac{7}{8} by multiplying \frac{3}{4} by the reciprocal of \frac{7}{8}.

$$\frac{3}{4}\times \frac{8}{7}=\frac{x}{\frac{21}{2}}$$

Multiply \frac{3}{4} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 8}{4\times 7}=\frac{x}{\frac{21}{2}}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 7}.

$$\frac{24}{28}=\frac{x}{\frac{21}{2}}$$

Reduce the fraction \frac{24}{28} to lowest terms by extracting and canceling out 4.

$$\frac{6}{7}=\frac{x}{\frac{21}{2}}$$

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

$$\frac{x}{\frac{21}{2}}=\frac{6}{7}$$

Multiply both sides by \frac{21}{2}.

$$x=\frac{6}{7}\times \frac{21}{2}$$

Multiply \frac{6}{7} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6\times 21}{7\times 2}$$

Do the multiplications in the fraction \frac{6\times 21}{7\times 2}.

$$x=\frac{126}{14}$$

Divide 126 by 14 to get 9.

$$x=9$$