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Evaluate the expression shown below and write your answer as a fraction in simplest form.

(5)/(12)+(7)/(5)
Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline512+75 \frac{5}{12}+\frac{7}{5} \newlineAnswer:

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline512+75 \frac{5}{12}+\frac{7}{5} \newlineAnswer:
  1. Find Common Denominator: To add two fractions with different denominators, we need to find a common denominator. The denominators here are 1212 and 55. The least common multiple (LCM) of 1212 and 55 is 6060.
  2. Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the denominator of 6060. For the first fraction, (512)(\frac{5}{12}), we multiply the numerator and denominator by 55 to get (5×512×5)=2560(\frac{5\times 5}{12\times 5}) = \frac{25}{60}. For the second fraction, (75)(\frac{7}{5}), we multiply the numerator and denominator by 1212 to get (7×125×12)=8460(\frac{7\times 12}{5\times 12}) = \frac{84}{60}.
  3. Add Fractions: Next, we add the two fractions with the common denominator: (2560)+(8460)=(25+8460)=10960(\frac{25}{60}) + (\frac{84}{60}) = (\frac{25 + 84}{60}) = \frac{109}{60}.
  4. Simplify Fraction: The fraction 10960\frac{109}{60} is already in its simplest form because 109109 and 6060 have no common factors other than 11.

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