Solve 9.5+10.9/88.0*(9.5-6.2)

$$9.5 + \frac { 10.9 } { 88.0 } \times ( 9.5 - 6.2 )$$

Evaluate

$$9.90875$$

Solution Steps

Expand \frac{10.9}{88} by multiplying both numerator and the denominator by 10.

$$9.5+\frac{109}{880}\left(9.5-6.2\right)$$

Subtract 6.2 from 9.5 to get 3.3.

$$9.5+\frac{109}{880}\times 3.3$$

Convert decimal number 3.3 to fraction \frac{33}{10}.

$$9.5+\frac{109}{880}\times \frac{33}{10}$$

Multiply \frac{109}{880} times \frac{33}{10} by multiplying numerator times numerator and denominator times denominator.

$$9.5+\frac{109\times 33}{880\times 10}$$

Do the multiplications in the fraction \frac{109\times 33}{880\times 10}.

$$9.5+\frac{3597}{8800}$$

Reduce the fraction \frac{3597}{8800} to lowest terms by extracting and canceling out 11.

$$9.5+\frac{327}{800}$$

Convert decimal number 9.5 to fraction \frac{95}{10}. Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$\frac{19}{2}+\frac{327}{800}$$

Least common multiple of 2 and 800 is 800. Convert \frac{19}{2} and \frac{327}{800} to fractions with denominator 800.

$$\frac{7600}{800}+\frac{327}{800}$$

Since \frac{7600}{800} and \frac{327}{800} have the same denominator, add them by adding their numerators.

$$\frac{7600+327}{800}$$

Add 7600 and 327 to get 7927.

$$\frac{7927}{800}$$

Factor

$$\frac{7927}{2 ^ {5} \cdot 5 ^ {2}} = 9\frac{727}{800} = 9.90875$$