Solve 1/17+3/43-1(-1)

$$\frac { 1 } { 17 } + \frac { 3 } { 43 } - 1 ( - 1 )$$

Evaluate

$$\frac{825}{731}\approx 1.128590971$$

Solution Steps

Least common multiple of 17 and 43 is 731. Convert \frac{1}{17} and \frac{3}{43} to fractions with denominator 731.

$$\frac{43}{731}+\frac{51}{731}-1\left(-1\right)$$

Since \frac{43}{731} and \frac{51}{731} have the same denominator, add them by adding their numerators.

$$\frac{43+51}{731}-1\left(-1\right)$$

Add 43 and 51 to get 94.

$$\frac{94}{731}-1\left(-1\right)$$

Multiply 1 and -1 to get -1.

$$\frac{94}{731}-\left(-1\right)$$

The opposite of -1 is 1.

$$\frac{94}{731}+1$$

Convert 1 to fraction \frac{731}{731}.

$$\frac{94}{731}+\frac{731}{731}$$

Since \frac{94}{731} and \frac{731}{731} have the same denominator, add them by adding their numerators.

$$\frac{94+731}{731}$$

Add 94 and 731 to get 825.

$$\frac{825}{731}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 11}{17 \cdot 43} = 1\frac{94}{731} = 1.1285909712722297$$