Ginny had 1 4/5 yards of green ribbon and 1 2/3 yards of yellow ribbon. Did she have enough ribbon to put around a hat that needed 3 yard of ribbon? Explain your answer.
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I need help on the explaining part. I said no. Thank You for your help.
Add:
1 4/5 + 1 2/3
1 12/15 + 1 10/15 = 2 22/15 = 3 7/15 yards
Thank You so much for your help. Have a great day!
You're very welcome. And I hope you have a wonderful day, too.
To answer the question, we need to compare the total length of the green and yellow ribbon that Ginny has (1 4/5 yards + 1 2/3 yards) with the length of ribbon needed for the hat (3 yards).
To add fractions, we need to find a common denominator. In this case, the common denominator is 15.
To convert 1 4/5 to an improper fraction:
1 = 1 * 5/5 = 5/5
1 4/5 = 5/5 + 4/5 = 9/5
To convert 1 2/3 to an improper fraction:
1 = 1 * 3/3 = 3/3
1 2/3 = 3/3 + 2/3 = 5/3
Now we can add the fractions:
9/5 + 5/3 = (9 * 3 + 5 * 5) / (5 * 3) = 27/15 + 25/15 = 52/15
So, Ginny has a total of 52/15 yards of ribbon.
Since the hat requires 3 yards of ribbon, we need to convert this to a fraction with a common denominator of 15:
3 = 3 * 15/15 = 45/15
Now we can compare the two fractions:
52/15 > 45/15
Since 52/15 yards of ribbon is greater than 45/15 yards, Ginny does have enough ribbon to put around the hat.
Therefore, the correct answer is yes, Ginny has enough ribbon to put around the hat.