Solve 201/19-412/19-517/19

$$20 \frac { 1 } { 19 } - 4 \frac { 12 } { 19 } - 5 \frac { 17 } { 19 }$$

Evaluate

$$\frac{181}{19}\approx 9.526315789$$

Solution Steps

Multiply 20 and 19 to get 380.

$$\frac{380+1}{19}-\frac{4\times 19+12}{19}-\frac{5\times 19+17}{19}$$

Add 380 and 1 to get 381.

$$\frac{381}{19}-\frac{4\times 19+12}{19}-\frac{5\times 19+17}{19}$$

Multiply 4 and 19 to get 76.

$$\frac{381}{19}-\frac{76+12}{19}-\frac{5\times 19+17}{19}$$

Add 76 and 12 to get 88.

$$\frac{381}{19}-\frac{88}{19}-\frac{5\times 19+17}{19}$$

Since \frac{381}{19} and \frac{88}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{381-88}{19}-\frac{5\times 19+17}{19}$$

Subtract 88 from 381 to get 293.

$$\frac{293}{19}-\frac{5\times 19+17}{19}$$

Multiply 5 and 19 to get 95.

$$\frac{293}{19}-\frac{95+17}{19}$$

Add 95 and 17 to get 112.

$$\frac{293}{19}-\frac{112}{19}$$

Since \frac{293}{19} and \frac{112}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{293-112}{19}$$

Subtract 112 from 293 to get 181.

$$\frac{181}{19}$$

Factor

$$\frac{181}{19} = 9\frac{10}{19} = 9.526315789473685$$