Since the width of the frame is present on both top and bottom, the picture's height is
25 5/6 - 2(5 2/3)
= 25 5/6 - 10 4/3
= 25 5/6 - 11 2/6
= 14 1/2
25 5/6 - 2(5 2/3)
= 25 5/6 - 10 4/3
= 25 5/6 - 11 2/6
= 14 1/2
The width has nothing to do with the answer.
The question is what is the height of the picture Emma placed in her picture frame.
It's kind of a sneaky question, since the width of the frame is given.
Always read the question carefully, don't assume you know what is being asked!
The answer is simple. What is the height of the picture frame? 25 5/6 correct?
So, what is the height of the picture you put in it?
Yes, 25 5/6.
14 1/2
Given:
Height of the picture frame = 25 5/6 inches
Width of the picture frame = 5 2/3 inches
To find the height of the picture:
1. Convert the mixed fractions to improper fractions:
Height of the picture frame = 25 5/6 inches = (6 * 25 + 5)/6 = 155/6 inches
Width of the picture frame = 5 2/3 inches = (3 * 5 + 2)/3 = 17/3 inches
2. Subtract the width of the frame from the overall height of the frame:
Height of the picture = Height of the frame - Width of the frame
Height of the picture = 155/6 - 17/3
To subtract fractions, we need to have a common denominator:
3. Find a common denominator:
The common denominator is the least common multiple (LCM) of 6 and 3, which is 6.
4. Convert the fractions to have the common denominator:
Height of the picture = (155/6) - (17/3)
= (155/6) * (1/1) - (17/3) * (2/2)
= 155/6 - 34/6
5. Subtract the fractions:
Height of the picture = (155 - 34)/6
= 121/6 inches
Therefore, the height of the picture Emma placed in the picture frame is 121/6 inches.