Solve 2/75/7+26/7

$$2 / 7 \frac { 5 } { 7 } + 2 \frac { 6 } { 7 }$$

Evaluate

$$\frac{150}{49}\approx 3.06122449$$

Solution Steps

Multiply \frac{2}{7} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{7\times 7}+\frac{2\times 7+6}{7}$$

Do the multiplications in the fraction \frac{2\times 5}{7\times 7}.

$$\frac{10}{49}+\frac{2\times 7+6}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{10}{49}+\frac{14+6}{7}$$

Add 14 and 6 to get 20.

$$\frac{10}{49}+\frac{20}{7}$$

Least common multiple of 49 and 7 is 49. Convert \frac{10}{49} and \frac{20}{7} to fractions with denominator 49.

$$\frac{10}{49}+\frac{140}{49}$$

Since \frac{10}{49} and \frac{140}{49} have the same denominator, add them by adding their numerators.

$$\frac{10+140}{49}$$

Add 10 and 140 to get 150.

$$\frac{150}{49}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 ^ {2}}{7 ^ {2}} = 3\frac{3}{49} = 3.061224489795918$$