Solve 3/4text{of}1/2quadtext{15}1/3text{of}0.26

$$\frac { 3 } { 4 } \text { of } \frac { 1 } { 2 } \quad \text { 15 } \frac { 1 } { 3 } \text { of } 0.26$$

Evaluate

$$\frac{39\left(fo\right)^{2}}{80}$$

Solution Steps

Multiply o and o to get o^{2}.

$$\frac{3}{4}o^{2}f\times \frac{1}{2}\times 15\times \frac{1}{3}f\times 0.26$$

Multiply f and f to get f^{2}.

$$\frac{3}{4}o^{2}f^{2}\times \frac{1}{2}\times 15\times \frac{1}{3}\times 0.26$$

Multiply \frac{3}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{4\times 2}o^{2}f^{2}\times 15\times \frac{1}{3}\times 0.26$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 2}.

$$\frac{3}{8}o^{2}f^{2}\times 15\times \frac{1}{3}\times 0.26$$

Express \frac{3}{8}\times 15 as a single fraction.

$$\frac{3\times 15}{8}o^{2}f^{2}\times \frac{1}{3}\times 0.26$$

Multiply 3 and 15 to get 45.

$$\frac{45}{8}o^{2}f^{2}\times \frac{1}{3}\times 0.26$$

Multiply \frac{45}{8} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 1}{8\times 3}o^{2}f^{2}\times 0.26$$

Do the multiplications in the fraction \frac{45\times 1}{8\times 3}.

$$\frac{45}{24}o^{2}f^{2}\times 0.26$$

Reduce the fraction \frac{45}{24} to lowest terms by extracting and canceling out 3.

$$\frac{15}{8}o^{2}f^{2}\times 0.26$$

Convert decimal number 0.26 to fraction \frac{26}{100}. Reduce the fraction \frac{26}{100} to lowest terms by extracting and canceling out 2.

$$\frac{15}{8}o^{2}f^{2}\times \frac{13}{50}$$

Multiply \frac{15}{8} times \frac{13}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 13}{8\times 50}o^{2}f^{2}$$

Do the multiplications in the fraction \frac{15\times 13}{8\times 50}.

$$\frac{195}{400}o^{2}f^{2}$$

Reduce the fraction \frac{195}{400} to lowest terms by extracting and canceling out 5.

$$\frac{39}{80}o^{2}f^{2}$$

Differentiate w.r.t. o

$$\frac{39of^{2}}{40}$$