Solve 20/21+3/7:quad7)2/9+

$$\frac { 20 } { 21 } + \frac { 3 } { 7 } : \quad 7 ) \frac { 2 } { 9 } +$$

Evaluate

$$\frac{149}{147}\approx 1.013605442$$

Solution Steps

Express \frac{\frac{3}{7}}{7} as a single fraction.

$$\frac{20}{21}+\frac{3}{7\times 7}$$

Multiply 7 and 7 to get 49.

$$\frac{20}{21}+\frac{3}{49}$$

Least common multiple of 21 and 49 is 147. Convert \frac{20}{21} and \frac{3}{49} to fractions with denominator 147.

$$\frac{140}{147}+\frac{9}{147}$$

Since \frac{140}{147} and \frac{9}{147} have the same denominator, add them by adding their numerators.

$$\frac{140+9}{147}$$

Add 140 and 9 to get 149.

$$\frac{149}{147}$$

Factor

$$\frac{149}{3 \cdot 7 ^ {2}} = 1\frac{2}{147} = 1.0136054421768708$$