Solve 311/12+44/9/8=

$$\frac { 3 \frac { 11 } { 12 } + 4 \frac { 4 } { 9 } } { 8 } =$$

Evaluate

$$\frac{301}{288}\approx 1.045138889$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{\frac{36+11}{12}+\frac{4\times 9+4}{9}}{8}$$

Add 36 and 11 to get 47.

$$\frac{\frac{47}{12}+\frac{4\times 9+4}{9}}{8}$$

Multiply 4 and 9 to get 36.

$$\frac{\frac{47}{12}+\frac{36+4}{9}}{8}$$

Add 36 and 4 to get 40.

$$\frac{\frac{47}{12}+\frac{40}{9}}{8}$$

Least common multiple of 12 and 9 is 36. Convert \frac{47}{12} and \frac{40}{9} to fractions with denominator 36.

$$\frac{\frac{141}{36}+\frac{160}{36}}{8}$$

Since \frac{141}{36} and \frac{160}{36} have the same denominator, add them by adding their numerators.

$$\frac{\frac{141+160}{36}}{8}$$

Add 141 and 160 to get 301.

$$\frac{\frac{301}{36}}{8}$$

Express \frac{\frac{301}{36}}{8} as a single fraction.

$$\frac{301}{36\times 8}$$

Multiply 36 and 8 to get 288.

$$\frac{301}{288}$$

Factor

$$\frac{7 \cdot 43}{2 ^ {5} \cdot 3 ^ {2}} = 1\frac{13}{288} = 1.0451388888888888$$