Blog assignment

 

Question:  Hannah bought a box of cheese pizza and Joel bought a box of pepperoni pizza. The cheese pizza had 8 slices and the pepperoni pizza had 12 slices.

Hannah ate 5/8 of the cheese pizza and 4/12 of the pepperoni pizza.

Joel ate 3/8 of the cheese pizza and 6/12 of the pepperoni pizza.

a)Who ate more pizza?

b)How many pizza slices were left?

 

Solution

Step 1 – Analyse the equation of pizza slices ate by Hannah

5/8 + 4/12

 

Step 2 – Find a common denominator for 8 and 12. In this case, the common denominator is 24.

 

Step 3 – Since the common denominator is 24, you have to multiply 8 by 3 and 12 by 2.

Whatever you do to the bottom number (denominator), you have to do the same to the top number (numerator) so the 5 in 5/8 also has to be multiplied by 3 and the 4 in 4/12 also has to be multiplied by 2.

5(x3) / 8(x3)  +  4(x2) / 12(x2)

= 15/24  +  8/24

 

Step 4 – Add the numerators together and that will be your answer over 24.

15/24  +  8/24  =  23/24

 

Everything that you have done for Hannah, you have to do the same with Joel.

Joel:  3/8  +  6/12  (common denom. 24)

= 3(x3)/8(x3)  +  6(x2)/12(x2)

= 9/12  + 12/24  (add the numerators together)

= 21/24

 

Answer a) :    Hannah ate more pizza slices than Joel.

23/24  >  21/24

 

Step 5 – To find the answer for b), you have to subtract the fractions.

Bigger numerator minus (-) smaller numerator = how many slices are left.

23/24 – 21/24 = 2/24

 

Answer b) :    23/24  –  21/24  =  2/24

There are 2 more slices of pizza left.