Solve frac{7sqrt{119}}{116}+25/87

$$\frac { 7 \sqrt { 119 } } { 116 } + \frac { 25 } { 87 }$$

Evaluate

$$\frac{7\sqrt{119}}{116}+\frac{25}{87}\approx 0.945640674$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 116 and 87 is 348. Multiply \frac{7\sqrt{119}}{116} times \frac{3}{3}. Multiply \frac{25}{87} times \frac{4}{4}.

$$\frac{3\times 7\sqrt{119}}{348}+\frac{25\times 4}{348}$$

Since \frac{3\times 7\sqrt{119}}{348} and \frac{25\times 4}{348} have the same denominator, add them by adding their numerators.

$$\frac{3\times 7\sqrt{119}+25\times 4}{348}$$

Do the multiplications in 3\times 7\sqrt{119}+25\times 4.

$$\frac{21\sqrt{119}+100}{348}$$

Factor

$$\frac{21 \sqrt{119} + 100}{348} = 0.9456406735843391$$