Solve 3/4%text{of}P=2.600

$$\frac { 3 } { 4 } \% \text { of } P = 2.600$$

Solve for P

$$P = \frac{1040}{3} = 346\frac{2}{3} \approx 346.666666667$$

Steps for Solving Linear Equation

Express \frac{\frac{3}{4}}{100} as a single fraction.

$$\frac{3}{4\times 100}P=2.6$$

Multiply 4 and 100 to get 400.

$$\frac{3}{400}P=2.6$$

Multiply both sides by \frac{400}{3}, the reciprocal of \frac{3}{400}.

$$P=2.6\times \frac{400}{3}$$

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$P=\frac{13}{5}\times \frac{400}{3}$$

Multiply \frac{13}{5} times \frac{400}{3} by multiplying numerator times numerator and denominator times denominator.

$$P=\frac{13\times 400}{5\times 3}$$

Do the multiplications in the fraction \frac{13\times 400}{5\times 3}.

$$P=\frac{5200}{15}$$

Reduce the fraction \frac{5200}{15} to lowest terms by extracting and canceling out 5.

$$P=\frac{1040}{3}$$