Solve 15296/251+5625/96=

$$152 \frac{ 96 }{ 251 } +56 \frac{ 25 }{ 96 } =$$

Evaluate

$$\frac{5027459}{24096}\approx 208.642886786$$

Solution Steps

Multiply 152 and 251 to get 38152.

$$\frac{38152+96}{251}+\frac{56\times 96+25}{96}$$

Add 38152 and 96 to get 38248.

$$\frac{38248}{251}+\frac{56\times 96+25}{96}$$

Multiply 56 and 96 to get 5376.

$$\frac{38248}{251}+\frac{5376+25}{96}$$

Add 5376 and 25 to get 5401.

$$\frac{38248}{251}+\frac{5401}{96}$$

Least common multiple of 251 and 96 is 24096. Convert \frac{38248}{251} and \frac{5401}{96} to fractions with denominator 24096.

$$\frac{3671808}{24096}+\frac{1355651}{24096}$$

Since \frac{3671808}{24096} and \frac{1355651}{24096} have the same denominator, add them by adding their numerators.

$$\frac{3671808+1355651}{24096}$$

Add 3671808 and 1355651 to get 5027459.

$$\frac{5027459}{24096}$$

Factor

$$\frac{1423 \cdot 3533}{2 ^ {5} \cdot 3 \cdot 251} = 208\frac{15491}{24096} = 208.64288678618857$$