Shelly and Marcom are selling popcorn for their music club. Each of them received a case of popcorn to sell. Shelly has sold 7/8 of her case and Marcon has sold 5/6 of his case. Which of the following explains how to find the portion of popcorn they have sold together?

A.Add the numerators and denominators of the fractions
B.Subtract the numerators and denominators of the fractions
C.Find the common denominator for the fractions and use it o write equivalent fractions. Then add the fractions
D.Find the common denominator for the fractions and use it to write equivalent fractions.Then subtract the fractions
C?

Right.

Cynthia bought a carton of 1 dozen eggs. She used 1/6 of the eggs when cooking breakfast and 1/3 of the eggs to make a cake. Which expression represents the fraction of the dozen eggs that Cynthia has left?

A.1-(1/6+1/3)
B.1/3-1/6
C.1/3+16
D.12-(1/3+1/6
D?

I vote for A.

You're looking for the fraction of one dozen.

Thank you. But can you show me you D is wrong? Since 1 dozen equals 12 and so I thought you'd need to subtract 1/3 and 1/6 from 12

What would you get if you subtract 1/3 and 1/6 from 12?

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Anabelle, this isn't a place to tell people to follow you on instagram. And if that's your dream, well.. you should really think about your life.

Sorry, couldn't resist replying to that.

Matthew was trying to add fractions with unlike denominators. He thought if you find the common denominator for the fractions and simply add the numerators, you would get the correct sum.

5/6 + 3/2 =8/6.
Where did Matthew go wrong and show the correct way to add the fractions.

Yes, option C is correct. To find the portion of popcorn Shelly and Marcom have sold together, you need to find the common denominator for the fractions and use it to write equivalent fractions. Then, you can add the fractions to get the total portion sold.

First, let's find the common denominator for 7/8 and 5/6. The denominators are 8 and 6. To find the common denominator, you can find the least common multiple (LCM) of the denominators. The LCM of 8 and 6 is 24.

Next, we need to write equivalent fractions with the common denominator of 24. To convert 7/8 to a fraction with a denominator of 24, multiply both the numerator and denominator by 3. This gives us 21/24. To convert 5/6 to a fraction with a denominator of 24, multiply both the numerator and denominator by 4. This gives us 20/24.

Now, we can add the fractions: 21/24 + 20/24 = 41/24.

Therefore, the portion of popcorn Shelly and Marcom have sold together is 41/24.