Solve 1.75-(-12/7)*6,5*7/9

$$1.75 - ( - 1 \frac { 2 } { 7 } ) \cdot 6,5 \cdot \frac { 7 } { 9 }$$

Sort

$$\frac{35}{9},\frac{265}{28}$$

Solution Steps

Multiply 1 and 7 to get 7.

$$sort(1.75-\left(-\frac{7+2}{7}\right)\times 6,5\times \frac{7}{9})$$

Add 7 and 2 to get 9.

$$sort(1.75-\left(-\frac{9}{7}\times 6\right),5\times \frac{7}{9})$$

Express -\frac{9}{7}\times 6 as a single fraction.

$$sort(1.75-\frac{-9\times 6}{7},5\times \frac{7}{9})$$

Multiply -9 and 6 to get -54.

$$sort(1.75-\frac{-54}{7},5\times \frac{7}{9})$$

Fraction \frac{-54}{7} can be rewritten as -\frac{54}{7} by extracting the negative sign.

$$sort(1.75-\left(-\frac{54}{7}\right),5\times \frac{7}{9})$$

The opposite of -\frac{54}{7} is \frac{54}{7}.

$$sort(1.75+\frac{54}{7},5\times \frac{7}{9})$$

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.

$$sort(\frac{7}{4}+\frac{54}{7},5\times \frac{7}{9})$$

Least common multiple of 4 and 7 is 28. Convert \frac{7}{4} and \frac{54}{7} to fractions with denominator 28.

$$sort(\frac{49}{28}+\frac{216}{28},5\times \frac{7}{9})$$

Since \frac{49}{28} and \frac{216}{28} have the same denominator, add them by adding their numerators.

$$sort(\frac{49+216}{28},5\times \frac{7}{9})$$

Add 49 and 216 to get 265.

$$sort(\frac{265}{28},5\times \frac{7}{9})$$

Express 5\times \frac{7}{9} as a single fraction.

$$sort(\frac{265}{28},\frac{5\times 7}{9})$$

Multiply 5 and 7 to get 35.

$$sort(\frac{265}{28},\frac{35}{9})$$

Least common denominator of the numbers in the list \frac{265}{28},\frac{35}{9} is 252. Convert numbers in the list to fractions with denominator 252.

$$\frac{2385}{252},\frac{980}{252}$$

To sort the list, start from a single element \frac{2385}{252}.

$$\frac{2385}{252}$$

Insert \frac{980}{252} to the appropriate location in the new list.

$$\frac{980}{252},\frac{2385}{252}$$

Replace the obtained fractions with the initial values.

$$\frac{35}{9},\frac{265}{28}$$

Evaluate

$$\frac{265}{28},\frac{35}{9}$$