Solve 1513/24+2523/36

$$15 \frac { 13 } { 24 } + 25 \frac { 23 } { 36 }$$

Evaluate

$$\frac{2965}{72}\approx 41.180555556$$

Solution Steps

Multiply 15 and 24 to get 360.

$$\frac{360+13}{24}+\frac{25\times 36+23}{36}$$

Add 360 and 13 to get 373.

$$\frac{373}{24}+\frac{25\times 36+23}{36}$$

Multiply 25 and 36 to get 900.

$$\frac{373}{24}+\frac{900+23}{36}$$

Add 900 and 23 to get 923.

$$\frac{373}{24}+\frac{923}{36}$$

Least common multiple of 24 and 36 is 72. Convert \frac{373}{24} and \frac{923}{36} to fractions with denominator 72.

$$\frac{1119}{72}+\frac{1846}{72}$$

Since \frac{1119}{72} and \frac{1846}{72} have the same denominator, add them by adding their numerators.

$$\frac{1119+1846}{72}$$

Add 1119 and 1846 to get 2965.

$$\frac{2965}{72}$$

Factor

$$\frac{5 \cdot 593}{2 ^ {3} \cdot 3 ^ {2}} = 41\frac{13}{72} = 41.18055555555556$$