Solve 26.8-(14-1377/90*70/90

$$26.8-(14- \frac{ 1377 }{ 90 } \times \frac{ 70 }{ 90 }$$

Evaluate

$$24.7$$

Solution Steps

Reduce the fraction \frac{1377}{90} to lowest terms by extracting and canceling out 9.

$$26.8-\left(14-\frac{153}{10}\times \frac{70}{90}\right)$$

Reduce the fraction \frac{70}{90} to lowest terms by extracting and canceling out 10.

$$26.8-\left(14-\frac{153}{10}\times \frac{7}{9}\right)$$

Multiply \frac{153}{10} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$26.8-\left(14-\frac{153\times 7}{10\times 9}\right)$$

Do the multiplications in the fraction \frac{153\times 7}{10\times 9}.

$$26.8-\left(14-\frac{1071}{90}\right)$$

Reduce the fraction \frac{1071}{90} to lowest terms by extracting and canceling out 9.

$$26.8-\left(14-\frac{119}{10}\right)$$

Convert 14 to fraction \frac{140}{10}.

$$26.8-\left(\frac{140}{10}-\frac{119}{10}\right)$$

Since \frac{140}{10} and \frac{119}{10} have the same denominator, subtract them by subtracting their numerators.

$$26.8-\frac{140-119}{10}$$

Subtract 119 from 140 to get 21.

$$26.8-\frac{21}{10}$$

Convert decimal number 26.8 to fraction \frac{268}{10}. Reduce the fraction \frac{268}{10} to lowest terms by extracting and canceling out 2.

$$\frac{134}{5}-\frac{21}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{134}{5} and \frac{21}{10} to fractions with denominator 10.

$$\frac{268}{10}-\frac{21}{10}$$

Since \frac{268}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{268-21}{10}$$

Subtract 21 from 268 to get 247.

$$\frac{247}{10}$$

Factor

$$\frac{13 \cdot 19}{2 \cdot 5} = 24\frac{7}{10} = 24.7$$