Solve 1.75-(-12/7)*6.5*7/9=

$$1.75 - ( - 1 \frac { 2 } { 7 } ) \cdot 6.5 \cdot \frac { 7 } { 9 } =$$

Evaluate

$$8.25$$

Solution Steps

Multiply 1 and 7 to get 7.

$$1.75-\left(-\frac{7+2}{7}\right)\times 6.5\times \frac{7}{9}$$

Add 7 and 2 to get 9.

$$1.75-\left(-\frac{9}{7}\times 6.5\times \frac{7}{9}\right)$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$1.75-\left(-\frac{9}{7}\times \frac{13}{2}\times \frac{7}{9}\right)$$

Multiply -\frac{9}{7} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$1.75-\frac{-9\times 13}{7\times 2}\times \frac{7}{9}$$

Do the multiplications in the fraction \frac{-9\times 13}{7\times 2}.

$$1.75-\frac{-117}{14}\times \frac{7}{9}$$

Fraction \frac{-117}{14} can be rewritten as -\frac{117}{14} by extracting the negative sign.

$$1.75-\left(-\frac{117}{14}\times \frac{7}{9}\right)$$

Multiply -\frac{117}{14} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$1.75-\frac{-117\times 7}{14\times 9}$$

Do the multiplications in the fraction \frac{-117\times 7}{14\times 9}.

$$1.75-\frac{-819}{126}$$

Reduce the fraction \frac{-819}{126} to lowest terms by extracting and canceling out 63.

$$1.75-\left(-\frac{13}{2}\right)$$

The opposite of -\frac{13}{2} is \frac{13}{2}.

$$1.75+\frac{13}{2}$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}+\frac{13}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{13}{2} to fractions with denominator 4.

$$\frac{7}{4}+\frac{26}{4}$$

Since \frac{7}{4} and \frac{26}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+26}{4}$$

Add 7 and 26 to get 33.

$$\frac{33}{4}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2}} = 8\frac{1}{4} = 8.25$$