I can not figure out this problem can you please help me solve it? Emma made a rectangular picture frame with the height of 25 5/6 inches. The frame is 5 2/3 inches wide. What is the height of the picture Emma placed in th picture frame? Explain how you found your answer
you have to subtract the width of the frame, both top and bottom. The remaining height is occupied by the picture
5 2/3 * 2 = 10 4/3 = 11 1/3
now subtract that from the overall height, and you have
25 5/6 - 11 1/3
= 25 5/6 - 11 2/6
= 25-11 + 5/6 - 2/6
= 14 3/6
= 14 1/2
To find the height of the picture Emma placed in the frame, we need to subtract the width of the frame from the height of the frame.
Before we do that, let's convert the mixed numbers to improper fractions to make the calculation easier. The height of the frame is 25 5/6 inches, which can be written as (6*25 + 5)/6 = 155/6 inches. And the width of the frame is 5 2/3 inches, which can be written as (3*5 + 2)/3 = 17/3 inches.
Now, subtracting the width of the frame from the height of the frame:
Height of the picture = Height of the frame - Width of the frame
= 155/6 inches - 17/3 inches
To subtract these fractions, we need a common denominator, which in this case is 6. So, we can convert 17/3 to an equivalent fraction with a denominator of 6 by multiplying both the numerator and denominator by 2:
17/3 = (17*2)/(3*2) = 34/6
Now, we can subtract these fractions:
Height of the picture = 155/6 inches - 34/6 inches
= (155 - 34)/6 inches
= 121/6 inches
Therefore, the height of the picture Emma placed in the frame is 121/6 inches.
To summarize, we found the height of the picture by subtracting the width of the frame from the height of the frame, after converting all the mixed numbers to improper fractions.