how to take 5/16 and make a 1/4 scale on paper

To convert a fraction to a different scale, such as making 5/16 into a 1/4 scale on paper, you will need to follow these steps:

Step 1: Understand the concept of scale.
In a scale, the ratio between the measurements of the real object and the representation on paper remains constant. For example, a 1/4 scale means that every inch on the paper represents 4 inches in real life, or every centimeter on the paper represents 4 centimeters in real life.

Step 2: Calculate the scaling factor.
To find this scaling factor, divide the denominator of the desired scale (4 in this case) by the denominator of the original fraction (16).

scaling factor = desired denominator / original denominator = 4 / 16 = 1 / 4

Step 3: Apply the scaling factor to the numerator.
Multiply the numerator of the original fraction (5) by the scaling factor calculated in step 2 to get the scaled numerator.

scaled numerator = original numerator * scaling factor = 5 * (1/4) = 5/4

Step 4: Simplify the fraction, if necessary.
In this case, the fraction 5/4 is already simplified.

So, to represent 5/16 on a 1/4 scale, you would draw a line or shape that is 5/4 units long on the paper.