Solve 125/36-67/12:9/2-3/26*frac{13}{3}

$$\frac { 125 } { 36 } - \frac { 67 } { 12 } : \frac { 9 } { 2 } - \frac { 3 } { 26 } \cdot \frac { 13 } { 3 }$$

Evaluate

$$\frac{187}{108}\approx 1.731481481$$

Solution Steps

Divide \frac{67}{12} by \frac{9}{2} by multiplying \frac{67}{12} by the reciprocal of \frac{9}{2}.

$$\frac{125}{36}-\frac{67}{12}\times \frac{2}{9}-\frac{3}{26}\times \frac{13}{3}$$

Multiply \frac{67}{12} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{125}{36}-\frac{67\times 2}{12\times 9}-\frac{3}{26}\times \frac{13}{3}$$

Do the multiplications in the fraction \frac{67\times 2}{12\times 9}.

$$\frac{125}{36}-\frac{134}{108}-\frac{3}{26}\times \frac{13}{3}$$

Reduce the fraction \frac{134}{108} to lowest terms by extracting and canceling out 2.

$$\frac{125}{36}-\frac{67}{54}-\frac{3}{26}\times \frac{13}{3}$$

Least common multiple of 36 and 54 is 108. Convert \frac{125}{36} and \frac{67}{54} to fractions with denominator 108.

$$\frac{375}{108}-\frac{134}{108}-\frac{3}{26}\times \frac{13}{3}$$

Since \frac{375}{108} and \frac{134}{108} have the same denominator, subtract them by subtracting their numerators.

$$\frac{375-134}{108}-\frac{3}{26}\times \frac{13}{3}$$

Subtract 134 from 375 to get 241.

$$\frac{241}{108}-\frac{3}{26}\times \frac{13}{3}$$

Multiply \frac{3}{26} times \frac{13}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{241}{108}-\frac{3\times 13}{26\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{241}{108}-\frac{13}{26}$$

Reduce the fraction \frac{13}{26} to lowest terms by extracting and canceling out 13.

$$\frac{241}{108}-\frac{1}{2}$$

Least common multiple of 108 and 2 is 108. Convert \frac{241}{108} and \frac{1}{2} to fractions with denominator 108.

$$\frac{241}{108}-\frac{54}{108}$$

Since \frac{241}{108} and \frac{54}{108} have the same denominator, subtract them by subtracting their numerators.

$$\frac{241-54}{108}$$

Subtract 54 from 241 to get 187.

$$\frac{187}{108}$$

Factor

$$\frac{11 \cdot 17}{2 ^ {2} \cdot 3 ^ {3}} = 1\frac{79}{108} = 1.7314814814814814$$