Question

Learning task 2. Read and solve the following problems. Write your answer in your notebook.
1.) Darla needs 3/9 cup of flourto bake a cake. She added another 3/5 cup of
flour to make bigger. How mush flour did she use?
2.) Fe shared her sandwich to april. Lovely ate 1/4 of the sandwich while may ate
2/3 of the sandwich. Which part of the sandwich was eaten
by the two friends?

Answer 1

Answer:

1. 14/15 cup of flour total

2.  11/12

Step-by-step explanation:

1. 3/9 to 1/3.  1/3 by 5/5 to get 5/15 on denominator you can add them together smoothly. Adding 9/15 cup of flour to 5/15 cup of flour already there would yield 14/15 cup of flour total.

2. Lovely ate = 1/4 of sandwich

May ate = 2/3

Both ate = 1/4 + 2/3 = (3 + 8)/12 = 11/12

11/12 part of sandwich was eaten by two friends

Answer 2

Given:

1. Darla is baking a cake and used 3/9 cups of flour, later she added another 3/5 cups of flour.

2. A student shared her sandwich with two of her friends(April, Lovely), they have consumed 1/4th and 2/3rd respectively.

To Find:

1. Total cups of flour Darla used to bake the cake.

2. Amount of sandwich left with the student after sharing.

Solution:

The given problems can be solved by using operations of fractions.

Question 1:

• Given Darla has used 3/9 cups of flour to bake a cake and later adds 3/5 cups of cake.
• The total cups of cakes used are given by$\frac{3}{9}+\frac{3}{5}$.

=>$\frac{3}{9}+\frac{3}{5\\}$,  ( Two fractions can be added by making the denominators i.e, Find LCM for the denominators).

=>$\frac{3*5}{9*5}+\frac{3*9}{5*9}$,

=>$\frac{15}{45}+\frac{27}{45}$,

=>$\frac{42}{45}$, It can be further simplified as$\frac{14}{15}$.

Hence The total cups of flour Darla used is (14/15).

Question 2:

• It is given that a student shared her sandwich with two other students.
• April ate 1/4th of the sandwich, Lovely ate 2/3rd of the sandwich.
• The total part of the sandwich eaten by April and Lovely is$\frac{1}{4}+\frac{2}{3}$.

=>$\frac{1}{4}+\frac{2}{3}$,( The given fractions can be added by making the denominators equal).

=>$\frac{1*3}{4*3}+\frac{2*4}{3*4}$,

=>$\frac{3}{12}+\frac{8}{12}$,

=>$\frac{11}{12}$.

Therefore, 11/12th part of the sandwich was eaten by the two friends.