Solve 525/100+1036/45

$$5 \frac { 25 } { 100 } + 10 \frac { 36 } { 45 }$$

Evaluate

$$\frac{321}{20}=16.05$$

Solution Steps

Multiply 5 and 100 to get 500.

$$\frac{500+25}{100}+\frac{10\times 45+36}{45}$$

Add 500 and 25 to get 525.

$$\frac{525}{100}+\frac{10\times 45+36}{45}$$

Reduce the fraction \frac{525}{100} to lowest terms by extracting and canceling out 25.

$$\frac{21}{4}+\frac{10\times 45+36}{45}$$

Multiply 10 and 45 to get 450.

$$\frac{21}{4}+\frac{450+36}{45}$$

Add 450 and 36 to get 486.

$$\frac{21}{4}+\frac{486}{45}$$

Reduce the fraction \frac{486}{45} to lowest terms by extracting and canceling out 9.

$$\frac{21}{4}+\frac{54}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{21}{4} and \frac{54}{5} to fractions with denominator 20.

$$\frac{105}{20}+\frac{216}{20}$$

Since \frac{105}{20} and \frac{216}{20} have the same denominator, add them by adding their numerators.

$$\frac{105+216}{20}$$

Add 105 and 216 to get 321.

$$\frac{321}{20}$$

Factor

$$\frac{3 \cdot 107}{2 ^ {2} \cdot 5} = 16\frac{1}{20} = 16.05$$