Question

1. how many groups of \\(\frac{5}{6}\\) are in each of the following quantities? show your thinking

a \\(\frac{2}{3}\\)
b \\(1\frac{1}{2}\\)
c \\(4\frac{1}{6}\\)

1. how many groups of \\(1\frac{1}{4}\\) are in each of the following quantities? show your thinking

a \\(2\frac{1}{2}\\)
b 4
c \\(\frac{3}{4}\\)

1. shawn’s golf club is \\(3\frac{3}{4}\\) feet tall. shawn’s hockey stick is \\(5\frac{1}{2}\\) feet tall

a how many times as tall as the golf club is the hockey stick? show your thinking

b what fraction of the hockey stick’s height is the golf club? show your thinking

1. jada is \\(5\frac{1}{4}\\) feet tall. her little sister is 4 feet tall. how many times as tall as her sister is jada?

\\(\boldsymbol{\text{a}}\\) \\(\frac{4}{5}\\) \\(\boldsymbol{\text{b}}\\) \\(\frac{16}{21}\\) \\(\boldsymbol{\text{c}}\\) \\(1\frac{1}{4}\\) \\(\boldsymbol{\text{d}}\\) \\(1\frac{5}{16}\\)

Explanation:

Step1: Understand the problem

We need to find how many times Jada's height is compared to her sister's height. Jada's height is $5\frac{1}{4}$ feet and her sister's height is 4 feet. This is a division problem where we divide Jada's height by her sister's height.

Step2: Convert the mixed number to an improper fraction

First, convert $5\frac{1}{4}$ to an improper fraction. $5\frac{1}{4}=\frac{5\times4 + 1}{4}=\frac{21}{4}$.

Step3: Perform the division

Now, divide Jada's height by her sister's height: $\frac{21}{4}\div4$. Dividing by a number is the same as multiplying by its reciprocal, so $\frac{21}{4}\times\frac{1}{4}=\frac{21}{16}$? Wait, no, wait. Wait, her sister's height is 4, which is $\frac{4}{1}$. So it's $\frac{21}{4}\div\frac{4}{1}=\frac{21}{4}\times\frac{1}{4}$? No, that's wrong. Wait, no: 4 is $\frac{4}{1}$, so dividing $\frac{21}{4}$ by $\frac{4}{1}$ is $\frac{21}{4}\times\frac{1}{4}=\frac{21}{16}$? But that's not one of the options. Wait, maybe I made a mistake. Wait, Jada's height is $5\frac{1}{4}=\frac{21}{4}$, her sister's is 4 = $\frac{4}{1}$. Wait, no, the question is how many times as tall as her sister is Jada. So it's Jada's height divided by sister's height: $\frac{21}{4}\div4=\frac{21}{4}\times\frac{1}{4}=\frac{21}{16}=1\frac{5}{16}$. Ah, that's option D.

Answer:

D. $1\frac{5}{16}$