Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.125+57Answer:
Find Common Denominator: To add two fractions with different denominators, we need to find a common denominator. The denominators here are 12 and 5. The least common multiple (LCM) of 12 and 5 is 60.
Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the denominator of 60. For the first fraction, (125), we multiply the numerator and denominator by 5 to get (12×55×5)=6025. For the second fraction, (57), we multiply the numerator and denominator by 12 to get (5×127×12)=6084.
Add Fractions: Next, we add the two fractions with the common denominator: (6025)+(6084)=(6025+84)=60109.
Simplify Fraction: The fraction 60109 is already in its simplest form because 109 and 60 have no common factors other than 1.