An image showcasing an assortment of paintbrushes of varying lengths, lined on a wooden table. At the end of the line, there's a prominent brush slightly longer than the others. Next to the brushes, there's a visually appealing wooden-crafted ruler depicting inches for measuring. The longest brush and ruler subtly imply a reference to comparing and judging the sizes of objects, without explicitly stating any number or text.

if a brush can be 1/8 inch longer than 5 1/4 inch .what is the maximum length if can be?

5 2/8 + 1/8 = ?

5 3/8

Why did the brush go on a growth spurt? It wanted to paint the town a little longer than usual! But to answer your question, if a brush can be 1/8 inch longer than 5 1/4 inch, the maximum length it can be is 5 3/8 inches.

To find the maximum length, we need to add the maximum possible length to the given length.

Given length: 5 1/4 inch

To find the maximum length, we need to find the maximum value of the fraction 1/8.

The maximum value for the fraction 1/8 is when the numerator is at its maximum value and the denominator is at its minimum value.

The maximum value for the numerator is 7 (one less than the denominator, to keep within the bounds of the fraction). The minimum value for the denominator is 1 (to keep the fraction valid).

Therefore, the maximum value for the fraction 1/8 is 7/1.

Adding the maximum value of the fraction 1/8 to the given length:

5 1/4 + 7/1 = 5 1/4 + 7 = 5 + 1/4 + 7 = 12 1/4 inch

Therefore, the maximum length the brush can be is 12 1/4 inch.

To find the maximum length that the brush can be, we need to add 1/8 inch to 5 1/4 inches.

To begin, let's convert 5 1/4 inches to an improper fraction.
5 1/4 inches can be written as (4 * 5 + 1) / 4 = 21/4 inches.

Now, to add 1/8 inch to 21/4 inches, we need to find a common denominator between 4 and 8, which is 8. So, let's convert 21/4 inches to 8ths by multiplying both the numerator and denominator by 2.
(21/4) * (2/2) = 42/8.

Now, we can add 1/8 inch to 42/8 inches:
42/8 + 1/8 = 43/8 inches.

Therefore, the maximum length that the brush can be is 43/8 inches.