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Tan2vy

Hey there here are your answers:

  • (1) 1 23/2
  • (2) 3 7/12
  • (3) 7 1/3

Explanation 1:

With unlike denominators find the Least Common Denominator (LCD):

LCD = 24

Multiplying numerators and denominators to get the LCD in all fraction denominators:

9/8 x 3/3 and 5/6 x 4/4

Then rewrite the equation with the equivalent fractions:

27/24 and 20/24

With like denominators we can operate on just the numerators:

27/24 + 20/24 (Don't add the denominators, keep them as 24)

Now simplify the answer:

47/24 = 1 23/24

Explanation 2:

With unlike denominators find the Least Common Denominator (LCD):

LCD = 12

Multiplying numerators and denominators to get the LCD in all fraction denominators:

5/2 x 6/6 and 13/12

With like denominators we can operate on just the numerators:

30/12 + 13/12 (Don't add the denominators, keep them as 12)

Simplifying the answer:

43/12 = 3 7/12

Explanation 3:

The two fractions have like denominators so you can add the numerators:

17/3 + 5/3 = 22/3 (Don't add the denominators, keep them as 3)

Now convert to mixed number:

7 1/3 is the final answer!

I hope this helps and have an amazing day!