WELL DONE! YOU GOT IT RIGHT.

EXPLANATION

When the mixed fractions are simpolified we get the following values.

9 $\frac{6}{9}$ =$\frac{87}{9}$

7 $\frac{13}{4}$ = $\frac{41}{4}$

8 $\frac{3}{8}$= $\frac{67}{8}$

5 $\frac{12}{9}$= $\frac{57}{9}$

Out of these mixed fractions the answers of 9 $\frac{6}{9}$ and 5 $\frac{12}{9}$ are correct.  The remaining answers are incorrect, therefore, these are the correct answers.

KEEP THINKING, AND KEEP TRYING!

EXPLANATION

When the mixed fractions are simpolified we get the following values.

9 $\frac{6}{9}$ =$\frac{87}{9}$

7 $\frac{13}{4}$ = $\frac{41}{4}$

8 $\frac{3}{8}$= $\frac{67}{8}$

5 $\frac{12}{9}$= $\frac{57}{9}$

Out of these mixed fractions the answers of 9 $\frac{6}{9}$ and 5 $\frac{12}{9}$ are correct.  The remaining answers are incorrect, therefore, these are the correct answers.

BRAVO…KEEP GOING.

EXPLANATION

When simplifying each of the mixed fractions, we get the following results.  Since all their denominators are equal, the numerator’s value is what determines which mixed fraction has the lowest and highest value among the mixed fractions of the given set.  the following set of fractions is arranged in the increasing order of their values after simplification.

2 $\frac{1}{9}$ = $\frac{18}{9}$

2 $\frac{8}{9}$ = $\frac{29}{9}$

3 $\frac{2}{9}$ = $\frac{29}{9}$

3 $\frac{7}{9}$ = $\frac{34}{9}$

Therefore, the order of the mixed fractions is as given below.

2 $\frac{1}{9}$

2 $\frac{8}{9}$

3 $\frac{2}{9}$

3 $\frac{7}{9}$

Therefore, the order of the mixed numbers in the increasing order of their values is as provided here. 

THERE’S ALWAYS NEXT TIME!

EXPLANATION

When simplifying each of the mixed fractions, we get the following results.  Since all their denominators are equal, the numerator’s value is what determines which mixed fraction has the lowest and highest value among the mixed fractions of the given set.  the following set of fractions is arranged in the increasing order of their values after simplification.

2 $\frac{1}{9}$ = $\frac{18}{9}$

2 $\frac{8}{9}$ = $\frac{29}{9}$

3 $\frac{2}{9}$ = $\frac{29}{9}$

3 $\frac{7}{9}$ = $\frac{34}{9}$

Therefore, the order of the mixed fractions is as given below.

2 $\frac{1}{9}$

2 $\frac{8}{9}$

3 $\frac{2}{9}$

3 $\frac{7}{9}$

Therefore, the order of the mixed numbers in the increasing order of their values is as provided here. 

YOU’VE ALWAYS HAD IT IN YOU, KEEP UP THE GOOD WORK!

EXPLANATION

7 × $\frac{2}{9}$ = $\frac{14}{9}$

YOU’RE ALMOST THERE.

EXPLANATION

7 × $\frac{2}{9}$ = $\frac{14}{9}$

IT’S AMAZING TO SEE HOW FAR YOU’VE COME! YOU ARE ABSOLUTELY RIGHT.

SOLUTION

3, $\frac{8}{5}$ as well as 4, $\frac{6}{5}$ are two of the opinion which provide the answer as $\frac{24}{5}$. The other two options do not give the answer as $\frac{24}{5}$.

UH-OH!

SOLUTION

3, $\frac{8}{5}$ as well as 4, $\frac{6}{5}$ are two of the opinion which provide the answer as $\frac{24}{5}$. The other two options do not give the answer as $\frac{24}{5}$.

THAT’S ANOTHER ONE FOR THE WIN! GOOD WORK!

EXPLANATION

 7 × 2$\frac{6}{7}$

Using the distributive property we get the following

= ( 7 × 2 ) + ( 7 × $\frac{6}{7}$ )

Simplifying further we get

= ( 14 ) + ( 7 × $\frac{6}{7}$ )

= ( 14 ) + ( 6 )

= 20

Therefore, the deli worker used 20 pounds of meat.

KEEP UP THE WORK, AND YOU’LL GET IT!

EXPLANATION

7 × 2$\frac{6}{7}$

Using the distributive property we get the following

= ( 7 × 2 ) + ( 7 × $\frac{6}{7}$ )

Simplifying further we get

= ( 14 ) + ( 7 × $\frac{6}{7}$ )

= ( 14 ) + ( 6 )

= 20

Therefore, the deli worker used 20 pounds of meat.

WOOHOO!

EXPLANATION

Fraction of Pizza eaten by Marcus = $\frac{2}{8}$

Remaining pizza = $\frac{8}{8}$ – $\frac{2}{8}$ = $\frac{6}{8}$

Amount of pizza eaten by Lizzie = $\frac{3}{4}$ ×$\frac{6}{8}$

= $\frac{18}{32}$

= $\frac{9}{16}$

Hence, the amount of pizza eaten by Lizzie is $\frac{9}{16}$.

WELL, IT’S ONLY A MATTER OF TIME TILL YOU ACE IT. KEEP TRYING!

EXPLANATION

Fraction of Pizza eaten by Marcus = $\frac{2}{8}$

Remaining pizza = $\frac{8}{8}$ – $\frac{2}{8}$ = $\frac{6}{8}$

Amount of pizza eaten by Lizzie = $\frac{3}{4}$ ×$\frac{6}{8}$

= $\frac{18}{32}$

= $\frac{9}{16}$

Hence, the amount of pizza eaten by Lizzie is $\frac{9}{16}$.

I KNEW YOU COULD DO IT! WELL DONE!

EXPLANATION:

Lindy ate 2$\frac{4}{9}$ of a large pie. To find the total quantity of the pies that were distributed to the crowd,

2$\frac{4}{9}$ should be multiplied by 45.

2$\frac{4}{9}$ × 45

Using the Distributive Property,

= ( 2 × 45 ) + ( $\frac{4}{9}$ × 45 )

Simplifying the equation further

= ( 90) + ( 4 × 5 )

= ( 90) + ( 20 )

= 110

Therefore, the total quantity of pies that would have to be distributed is 110.

A+ FOR EFFORT! KEEP TRYING.

EXPLANATION:

Lindy ate 2$\frac{4}{9}$ of a large pie. To find the total quantity of the pies that were distributed to the crowd,

2$\frac{4}{9}$ should be multiplied by 45.

2$\frac{4}{9}$ × 45

Using the Distributive Property,

= ( 2 × 45 ) + ( $\frac{4}{9}$ × 45 )

Simplifying the equation further

= ( 90) + ( 4 × 5 )

= ( 90) + ( 20 )

= 110

Therefore, the total quantity of pies that would have to be distributed is 110.

YOU’VE ALWAYS HAD IT IN YOU, KEEP UP THE GOOD WORK!

EXPLANATION

The product of 9 and $\frac{9}{2}$ is $\frac{81}{2}$.

YOU’RE ALMOST THERE.

EXPLANATION

The product of 9 and $\frac{9}{2}$ is $\frac{81}{2}$.

A BUDDING MATHEMATICAL GENIUS AT WORK!

EXPLANATION

Since one cake is divided into eight slices, so, each slice is $\frac{1}{8}$. to find the total number of slices required, $\frac{1}{8}$ is multiplied by 48.

Total number of slices of cake required =  $\frac{1}{8}$ × 48

Simplifying the fraction we get

= 6

Therefore, Sebastian needs a total of 6 cakes.

THAT WAS A GOOD ATTEMPT. DON’T EVER STOP TRYING!

EXPLANATION

Since one cake is divided into eight slices, so, each slice is $\frac{1}{8}$. to find the total number of slices required, $\frac{1}{8}$ is multiplied by 48.

Total number of slices of cake required =  $\frac{1}{8}$ × 48

Simplifying the fraction we get

= 6

Therefore, Sebastian needs a total of 6 cakes.

YOU’RE DOING GREAT. KEEP GOING.

EXPLANATION

To find the number of hours the sloth sleeps, multiply the number of hours the tiger sleeps by 2$\frac{2}{3}$.

= ( 4 × 2$\frac{8}{3}$)

Using the distributive property we get the following

= (8)  + ($\frac{8}{3}$)

simplifying the equation further we get

= $\frac{32}{3}$

Therefore, the total number of hours a sloth slept that day is ( $\frac{32}{3}$ ) hours

THAT WAS A GOOD ATTEMPT. DON’T EVER STOP TRYING!

EXPLANATION

To find the number of hours the sloth sleeps, multiply the number of hours the tiger sleeps by 2$\frac{2}{3}$.

= ( 4 × 2$\frac{8}{3}$)

Using the distributive property we get the following

= (8)  + ($\frac{8}{3}$)

simplifying the equation further we get

= $\frac{32}{3}$

Therefore, the total number of hours a sloth slept that day is ( $\frac{32}{3}$ ) hours