Solve 6(1+1/9+1/16)

$$6 ( 1 + 1 / 9 + 1 / 16 )$$

Evaluate

$$\frac{169}{24}\approx 7.041666667$$

Solution Steps

Convert 1 to fraction \frac{9}{9}.

$$6\left(\frac{9}{9}+\frac{1}{9}+\frac{1}{16}\right)$$

Since \frac{9}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$6\left(\frac{9+1}{9}+\frac{1}{16}\right)$$

Add 9 and 1 to get 10.

$$6\left(\frac{10}{9}+\frac{1}{16}\right)$$

Least common multiple of 9 and 16 is 144. Convert \frac{10}{9} and \frac{1}{16} to fractions with denominator 144.

$$6\left(\frac{160}{144}+\frac{9}{144}\right)$$

Since \frac{160}{144} and \frac{9}{144} have the same denominator, add them by adding their numerators.

$$6\times \frac{160+9}{144}$$

Add 160 and 9 to get 169.

$$6\times \frac{169}{144}$$

Express 6\times \frac{169}{144} as a single fraction.

$$\frac{6\times 169}{144}$$

Multiply 6 and 169 to get 1014.

$$\frac{1014}{144}$$

Reduce the fraction \frac{1014}{144} to lowest terms by extracting and canceling out 6.

$$\frac{169}{24}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {3} \cdot 3} = 7\frac{1}{24} = 7.041666666666667$$