Solve 170247/1196+264976041873527/7562442437550+49091/1475+2283/50

$$\frac { 170247 } { 1196 } + \frac { 264976041873527 } { 7562442437550 } + \frac { 49091 } { 1475 } + \frac { 2283 } { 50 }$$

Evaluate

$$\frac{5260984638322318987}{20524468775510700}\approx 256.327444859$$

Solution Steps

Least common multiple of 1196 and 7562442437550 is 347872352127300. Convert \frac{170247}{1196} and \frac{264976041873527}{7562442437550} to fractions with denominator 347872352127300.

$$\frac{49518582217906725}{347872352127300}+\frac{12188897926182242}{347872352127300}+\frac{49091}{1475}+\frac{2283}{50}$$

Since \frac{49518582217906725}{347872352127300} and \frac{12188897926182242}{347872352127300} have the same denominator, add them by adding their numerators.

$$\frac{49518582217906725+12188897926182242}{347872352127300}+\frac{49091}{1475}+\frac{2283}{50}$$

Add 49518582217906725 and 12188897926182242 to get 61707480144088967.

$$\frac{61707480144088967}{347872352127300}+\frac{49091}{1475}+\frac{2283}{50}$$

Least common multiple of 347872352127300 and 1475 is 20524468775510700. Convert \frac{61707480144088967}{347872352127300} and \frac{49091}{1475} to fractions with denominator 20524468775510700.

$$\frac{3640741328501249053}{20524468775510700}+\frac{683096065531251372}{20524468775510700}+\frac{2283}{50}$$

Since \frac{3640741328501249053}{20524468775510700} and \frac{683096065531251372}{20524468775510700} have the same denominator, add them by adding their numerators.

$$\frac{3640741328501249053+683096065531251372}{20524468775510700}+\frac{2283}{50}$$

Add 3640741328501249053 and 683096065531251372 to get 4323837394032500425.

$$\frac{4323837394032500425}{20524468775510700}+\frac{2283}{50}$$

Reduce the fraction \frac{4323837394032500425}{20524468775510700} to lowest terms by extracting and canceling out 25.

$$\frac{172953495761300017}{820978751020428}+\frac{2283}{50}$$

Least common multiple of 820978751020428 and 50 is 20524468775510700. Convert \frac{172953495761300017}{820978751020428} and \frac{2283}{50} to fractions with denominator 20524468775510700.

$$\frac{4323837394032500425}{20524468775510700}+\frac{937147244289818562}{20524468775510700}$$

Since \frac{4323837394032500425}{20524468775510700} and \frac{937147244289818562}{20524468775510700} have the same denominator, add them by adding their numerators.

$$\frac{4323837394032500425+937147244289818562}{20524468775510700}$$

Add 4323837394032500425 and 937147244289818562 to get 5260984638322318987.

$$\frac{5260984638322318987}{20524468775510700}$$

Factor

$$\frac{3161953 \cdot 1663840239979}{2 ^ {2} \cdot 3 ^ {3} \cdot 5 ^ {2} \cdot 7 ^ {2} \cdot 11 \cdot 13 \cdot 17 \cdot 23 \cdot 31 \cdot 37 \cdot 41 \cdot 59} = 256\frac{6720631791580160}{20524468775510700} = 256.3274448593573$$