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Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects Mia can complete with this ribbon.

(Optional, just please write down step by step explanation) PLEASE ANSWER WITH EXPLANATION AS IF YOU WERE WRITING DOEN ON SCRATCH PAPER

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Answer:

6 projects

Step-by-step explanation:

Original ribbon length = 24 yards

After 10 yards given to sister, Mia is left with 24-10 = 14 yards of ribbon

Each project requires 2 1/4 yards of ribbon.

2 1/4 is 9/4 yards as an improper fraction (2 * 4 + 1 is the numerator and the denominator is unchanged)

We now have to figure out how many times 9/4 yards goes into 14 yards.

For this,

14 ÷ 9/4.
To do this, flip the numerator and denominator of the fraction and multiply

14 ÷ 9/4 = 14 × 4/9 = 56/9 . We ignore any remainder.

9 goes into 56 6 times with remainder of 2 (ignore remainder)
In other words the greatest number of projects = 6

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