Solve 319/24+25/9=

$$3 \frac { 19 } { 24 } + 2 \frac { 5 } { 9 } =$$

Evaluate

$$\frac{457}{72}\approx 6.347222222$$

Solution Steps

Multiply 3 and 24 to get 72.

$$\frac{72+19}{24}+\frac{2\times 9+5}{9}$$

Add 72 and 19 to get 91.

$$\frac{91}{24}+\frac{2\times 9+5}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{91}{24}+\frac{18+5}{9}$$

Add 18 and 5 to get 23.

$$\frac{91}{24}+\frac{23}{9}$$

Least common multiple of 24 and 9 is 72. Convert \frac{91}{24} and \frac{23}{9} to fractions with denominator 72.

$$\frac{273}{72}+\frac{184}{72}$$

Since \frac{273}{72} and \frac{184}{72} have the same denominator, add them by adding their numerators.

$$\frac{273+184}{72}$$

Add 273 and 184 to get 457.

$$\frac{457}{72}$$

Factor

$$\frac{457}{2 ^ {3} \cdot 3 ^ {2}} = 6\frac{25}{72} = 6.347222222222222$$