Solve 49div52*6-(12*78-10*88)

$$49 \div 52 \cdot 6 - ( 12 \cdot 78 - 10 \cdot 88 )$$

Evaluate

$$-\frac{1309}{26}\approx -50.346153846$$

Solution Steps

Express \frac{49}{52}\times 6 as a single fraction.

$$\frac{49\times 6}{52}-\left(12\times 78-10\times 88\right)$$

Multiply 49 and 6 to get 294.

$$\frac{294}{52}-\left(12\times 78-10\times 88\right)$$

Reduce the fraction \frac{294}{52} to lowest terms by extracting and canceling out 2.

$$\frac{147}{26}-\left(12\times 78-10\times 88\right)$$

Multiply 12 and 78 to get 936.

$$\frac{147}{26}-\left(936-10\times 88\right)$$

Multiply 10 and 88 to get 880.

$$\frac{147}{26}-\left(936-880\right)$$

Subtract 880 from 936 to get 56.

$$\frac{147}{26}-56$$

Convert 56 to fraction \frac{1456}{26}.

$$\frac{147}{26}-\frac{1456}{26}$$

Since \frac{147}{26} and \frac{1456}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147-1456}{26}$$

Subtract 1456 from 147 to get -1309.

$$-\frac{1309}{26}$$

Factor

$$-\frac{1309}{26} = -50\frac{9}{26} = -50.34615384615385$$