Solve 25036/89+35032/90

$$250 \frac { 36 } { 89 } + 350 \frac { 32 } { 90 }$$

Evaluate

$$\frac{2406044}{4005}\approx 600.760049938$$

Solution Steps

Multiply 250 and 89 to get 22250.

$$\frac{22250+36}{89}+\frac{350\times 90+32}{90}$$

Add 22250 and 36 to get 22286.

$$\frac{22286}{89}+\frac{350\times 90+32}{90}$$

Multiply 350 and 90 to get 31500.

$$\frac{22286}{89}+\frac{31500+32}{90}$$

Add 31500 and 32 to get 31532.

$$\frac{22286}{89}+\frac{31532}{90}$$

Reduce the fraction \frac{31532}{90} to lowest terms by extracting and canceling out 2.

$$\frac{22286}{89}+\frac{15766}{45}$$

Least common multiple of 89 and 45 is 4005. Convert \frac{22286}{89} and \frac{15766}{45} to fractions with denominator 4005.

$$\frac{1002870}{4005}+\frac{1403174}{4005}$$

Since \frac{1002870}{4005} and \frac{1403174}{4005} have the same denominator, add them by adding their numerators.

$$\frac{1002870+1403174}{4005}$$

Add 1002870 and 1403174 to get 2406044.

$$\frac{2406044}{4005}$$

Factor

$$\frac{2 ^ {2} \cdot 17 \cdot 41 \cdot 863}{3 ^ {2} \cdot 5 \cdot 89} = 600\frac{3044}{4005} = 600.7600499375781$$