Solve G/frac{1{4}}=7/8/frac{3{8}}

$$\frac { G } { \frac { 1 } { 4 } } = \frac { \frac { 7 } { 8 } } { \frac { 3 } { 8 } }$$

Solve for G

$$G=\frac{7}{12}\approx 0.583333333$$

Steps for Solving Linear Equation

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

$$\frac{G}{\frac{1}{4}}=\frac{7}{8}\times \frac{8}{3}$$

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

$$\frac{G}{\frac{1}{4}}=\frac{7\times 8}{8\times 3}$$

Cancel out 8 in both numerator and denominator.

$$\frac{G}{\frac{1}{4}}=\frac{7}{3}$$

Multiply both sides by \frac{1}{4}.

$$G=\frac{7}{3}\times \frac{1}{4}$$

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

$$G=\frac{7\times 1}{3\times 4}$$

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

$$G=\frac{7}{12}$$