Solve 191/6+43.75/frac{5{6}}

$$\frac{ 19 \frac{ 1 }{ 6 } +43.75 }{ \frac{ 5 }{ 6 } }$$

Evaluate

$$75.5$$

Solution Steps

Multiply 19 and 6 to get 114.

$$\frac{\frac{114+1}{6}+43.75}{\frac{5}{6}}$$

Add 114 and 1 to get 115.

$$\frac{\frac{115}{6}+43.75}{\frac{5}{6}}$$

Convert decimal number 43.75 to fraction \frac{4375}{100}. Reduce the fraction \frac{4375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{115}{6}+\frac{175}{4}}{\frac{5}{6}}$$

Least common multiple of 6 and 4 is 12. Convert \frac{115}{6} and \frac{175}{4} to fractions with denominator 12.

$$\frac{\frac{230}{12}+\frac{525}{12}}{\frac{5}{6}}$$

Since \frac{230}{12} and \frac{525}{12} have the same denominator, add them by adding their numerators.

$$\frac{\frac{230+525}{12}}{\frac{5}{6}}$$

Add 230 and 525 to get 755.

$$\frac{\frac{755}{12}}{\frac{5}{6}}$$

Divide \frac{755}{12} by \frac{5}{6} by multiplying \frac{755}{12} by the reciprocal of \frac{5}{6}.

$$\frac{755}{12}\times \frac{6}{5}$$

Multiply \frac{755}{12} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{755\times 6}{12\times 5}$$

Do the multiplications in the fraction \frac{755\times 6}{12\times 5}.

$$\frac{4530}{60}$$

Reduce the fraction \frac{4530}{60} to lowest terms by extracting and canceling out 30.

$$\frac{151}{2}$$

Factor

$$\frac{151}{2} = 75\frac{1}{2} = 75.5$$