Solve 3/4*5/4=45/x

$$\frac { 3 } { 4 } \times \frac { 5 } { 4 } = \frac { 45 } { x }$$

Solve for x

$$x=48$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.

$$\frac{3}{4}\times \frac{5}{4}\times 4x=4\times 45$$

Multiply \frac{3}{4} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 4}\times 4x=4\times 45$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 4}.

$$\frac{15}{16}\times 4x=4\times 45$$

Express \frac{15}{16}\times 4 as a single fraction.

$$\frac{15\times 4}{16}x=4\times 45$$

Multiply 15 and 4 to get 60.

$$\frac{60}{16}x=4\times 45$$

Reduce the fraction \frac{60}{16} to lowest terms by extracting and canceling out 4.

$$\frac{15}{4}x=4\times 45$$

Multiply 4 and 45 to get 180.

$$\frac{15}{4}x=180$$

Multiply both sides by \frac{4}{15}, the reciprocal of \frac{15}{4}.

$$x=180\times \frac{4}{15}$$

Express 180\times \frac{4}{15} as a single fraction.

$$x=\frac{180\times 4}{15}$$

Multiply 180 and 4 to get 720.

$$x=\frac{720}{15}$$

Divide 720 by 15 to get 48.

$$x=48$$