Solve 127-(30/5+422/6)

$$127 - ( \frac { 30 } { 5 } + 42 \frac { 2 } { 6 } )$$

Evaluate

$$\frac{236}{3}\approx 78.666666667$$

Solution Steps

Divide 30 by 5 to get 6.

$$127-\left(6+\frac{42\times 6+2}{6}\right)$$

Multiply 42 and 6 to get 252.

$$127-\left(6+\frac{252+2}{6}\right)$$

Add 252 and 2 to get 254.

$$127-\left(6+\frac{254}{6}\right)$$

Reduce the fraction \frac{254}{6} to lowest terms by extracting and canceling out 2.

$$127-\left(6+\frac{127}{3}\right)$$

Convert 6 to fraction \frac{18}{3}.

$$127-\left(\frac{18}{3}+\frac{127}{3}\right)$$

Since \frac{18}{3} and \frac{127}{3} have the same denominator, add them by adding their numerators.

$$127-\frac{18+127}{3}$$

Add 18 and 127 to get 145.

$$127-\frac{145}{3}$$

Convert 127 to fraction \frac{381}{3}.

$$\frac{381}{3}-\frac{145}{3}$$

Since \frac{381}{3} and \frac{145}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{381-145}{3}$$

Subtract 145 from 381 to get 236.

$$\frac{236}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 59}{3} = 78\frac{2}{3} = 78.66666666666667$$