Question

fill in the bubble completely to show your answer. 14. michelle cuts \\(\frac{1}{4}\\) yard of ribbon into 4 equal pieces. what is the length of each piece? taks 5.31,531 a \\(\frac{1}{16}\\) yard b 16 yards c 1 yard d \\(\frac{1}{8}\\) yard

Explanation:

Step1: Understand the problem

We need to find the length of each piece when \(\frac{1}{4}\) yard of ribbon is cut into 4 equal pieces. This involves dividing a fraction by an integer.

Step2: Divide the total length by the number of pieces

The formula for dividing a fraction \(\frac{a}{b}\) by an integer \(n\) is \(\frac{a}{b}\div n=\frac{a}{b}\times\frac{1}{n}\). Here, the total length \(a = 1\), \(b = 4\), and \(n=4\). So we have \(\frac{1}{4}\div4=\frac{1}{4}\times\frac{1}{4}\)

Step3: Multiply the fractions

Multiplying the numerators and denominators, we get \(\frac{1\times1}{4\times4}=\frac{1}{16}\)

Answer:

A. \(\frac{1}{16}\) yard