Solve (f)7/8*(3/4+4:1/2)

$$( f ) \frac { 7 } { 8 } \cdot ( \frac { 3 } { 4 } + 4 : \frac { 1 } { 2 } )$$

Evaluate

$$\frac{245f}{32}$$

Solution Steps

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

$$f\times \frac{7}{8}\left(\frac{3}{4}+4\times 2\right)$$

Multiply 4 and 2 to get 8.

$$f\times \frac{7}{8}\left(\frac{3}{4}+8\right)$$

Convert 8 to fraction \frac{32}{4}.

$$f\times \frac{7}{8}\left(\frac{3}{4}+\frac{32}{4}\right)$$

Since \frac{3}{4} and \frac{32}{4} have the same denominator, add them by adding their numerators.

$$f\times \frac{7}{8}\times \frac{3+32}{4}$$

Add 3 and 32 to get 35.

$$f\times \frac{7}{8}\times \frac{35}{4}$$

Multiply \frac{7}{8} times \frac{35}{4} by multiplying numerator times numerator and denominator times denominator.

$$f\times \frac{7\times 35}{8\times 4}$$

Do the multiplications in the fraction \frac{7\times 35}{8\times 4}.

$$f\times \frac{245}{32}$$

Expand

$$\frac{245f}{32}$$

Solution Steps

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

$$f\times \frac{7}{8}\left(\frac{3}{4}+4\times 2\right)$$

Multiply 4 and 2 to get 8.

$$f\times \frac{7}{8}\left(\frac{3}{4}+8\right)$$

Convert 8 to fraction \frac{32}{4}.

$$f\times \frac{7}{8}\left(\frac{3}{4}+\frac{32}{4}\right)$$

Since \frac{3}{4} and \frac{32}{4} have the same denominator, add them by adding their numerators.

$$f\times \frac{7}{8}\times \frac{3+32}{4}$$

Add 3 and 32 to get 35.

$$f\times \frac{7}{8}\times \frac{35}{4}$$

Multiply \frac{7}{8} times \frac{35}{4} by multiplying numerator times numerator and denominator times denominator.

$$f\times \frac{7\times 35}{8\times 4}$$

Do the multiplications in the fraction \frac{7\times 35}{8\times 4}.

$$f\times \frac{245}{32}$$