Solve =3+17/21+20/27*8

$$= 3 + \frac { 17 } { 21 } + \frac { 20 } { 27 } \times 8$$

Evaluate

$$\frac{1840}{189}\approx 9.735449735$$

Solution Steps

Convert 3 to fraction \frac{63}{21}.

$$\frac{63}{21}+\frac{17}{21}+\frac{20}{27}\times 8$$

Since \frac{63}{21} and \frac{17}{21} have the same denominator, add them by adding their numerators.

$$\frac{63+17}{21}+\frac{20}{27}\times 8$$

Add 63 and 17 to get 80.

$$\frac{80}{21}+\frac{20}{27}\times 8$$

Express \frac{20}{27}\times 8 as a single fraction.

$$\frac{80}{21}+\frac{20\times 8}{27}$$

Multiply 20 and 8 to get 160.

$$\frac{80}{21}+\frac{160}{27}$$

Least common multiple of 21 and 27 is 189. Convert \frac{80}{21} and \frac{160}{27} to fractions with denominator 189.

$$\frac{720}{189}+\frac{1120}{189}$$

Since \frac{720}{189} and \frac{1120}{189} have the same denominator, add them by adding their numerators.

$$\frac{720+1120}{189}$$

Add 720 and 1120 to get 1840.

$$\frac{1840}{189}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 23}{3 ^ {3} \cdot 7} = 9\frac{139}{189} = 9.735449735449736$$