What is the result of adding the fraction 1 1/4 + 2 1/16?

Study for the 2nd Year Lineman Apprentice Exam. Utilize flashcards and multiple-choice questions with explanations and hints. Prepare effectively for your exam!

To add the mixed numbers 1 1/4 and 2 1/16, you first convert them into improper fractions.

1 1/4 can be converted as follows:

  • Multiply the whole number (1) by the denominator (4) to get 4.

  • Add the numerator (1) to this result to get 5.

  • Thus, 1 1/4 becomes 5/4.

For 2 1/16:

  • Multiply the whole number (2) by the denominator (16) to get 32.

  • Add the numerator (1) to this result to get 33.

  • Therefore, 2 1/16 becomes 33/16.

Next, you need to find a common denominator to add these fractions. The least common denominator (LCD) between 4 and 16 is 16. So, you convert 5/4 to have a denominator of 16:

  • To do this, you multiply the numerator and denominator of 5/4 by 4, yielding 20/16.

Now, you can add:

20/16 + 33/16 = (20 + 33)/16 = 53/16.

Finally, convert

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