Question

use fraction circle pieces. the red circle is the whole. make two different combinations of fraction circle pieces that form one whole. sketch each combination and write a fraction addition equation for each. 1 show your first sketch here: write a fraction addition equation: 2 show your second sketch here: write a fraction addition equation:

Explanation:

First Combination (1)

Step1: Choose fraction pieces

We can use two $\frac{1}{2}$ fraction circle pieces. A $\frac{1}{2}$ piece represents half of the whole red circle.

Step2: Add the fractions

To find the sum of two $\frac{1}{2}$ pieces, we use the fraction addition formula. The equation is $\frac{1}{2}+\frac{1}{2}$.
Calculating the sum: $\frac{1}{2}+\frac{1}{2}=\frac{1 + 1}{2}=\frac{2}{2}=1$.

Sketch Description (for the first sketch):

Draw a red circle (the whole). Then draw two semicircles (each labeled $\frac{1}{2}$) that fit together to form the whole red circle.

Fraction Addition Equation (for the first combination):

$\frac{1}{2}+\frac{1}{2}=1$

Second Combination (2)

Step1: Choose fraction pieces

We can use four $\frac{1}{4}$ fraction circle pieces. A $\frac{1}{4}$ piece represents a quarter of the whole red circle.

Step2: Add the fractions

To find the sum of four $\frac{1}{4}$ pieces, we use the fraction addition formula. The equation is $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$.
Calculating the sum: $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{1+1 + 1+1}{4}=\frac{4}{4}=1$.

Sketch Description (for the second sketch):

Draw a red circle (the whole). Then draw four quarter - circles (each labeled $\frac{1}{4}$) that fit together to form the whole red circle.

Fraction Addition Equation (for the second combination):

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=1$

(Note: There are many other possible combinations, for example, using a $\frac{1}{3}$, a $\frac{1}{3}$, and a $\frac{1}{3}$ with the equation $\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1$, or a $\frac{1}{2}$ and two $\frac{1}{4}$s with the equation $\frac{1}{2}+\frac{1}{4}+\frac{1}{4}=1$ etc.)

Answer:

Step1: Choose fraction pieces

We can use four $\frac{1}{4}$ fraction circle pieces. A $\frac{1}{4}$ piece represents a quarter of the whole red circle.

Step2: Add the fractions

To find the sum of four $\frac{1}{4}$ pieces, we use the fraction addition formula. The equation is $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$.
Calculating the sum: $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{1+1 + 1+1}{4}=\frac{4}{4}=1$.

Sketch Description (for the second sketch):

Draw a red circle (the whole). Then draw four quarter - circles (each labeled $\frac{1}{4}$) that fit together to form the whole red circle.

Fraction Addition Equation (for the second combination):

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=1$

(Note: There are many other possible combinations, for example, using a $\frac{1}{3}$, a $\frac{1}{3}$, and a $\frac{1}{3}$ with the equation $\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1$, or a $\frac{1}{2}$ and two $\frac{1}{4}$s with the equation $\frac{1}{2}+\frac{1}{4}+\frac{1}{4}=1$ etc.)