Question

1. Liezl bought 2 1/4 kilograms of pork, 5 1/2 kilograms of chicken and 1 1/3 kilograms of beef. How many kilograms of meat did she buy in all?
2. Roel travelled 1 1/2 km while Arnel 1 1/2 km more than the distance covered by Roel. How many kilometers did the two travel together?

3. Kenneth and Ian have 20 kilograms of fruits. Kenneth has 9 5/8 kilograms of fruits. How many kilograms of fruits does Ian have?
4. Father has a 17 3/7 m of nylon string. He gave 10 m of it for his brother’s fishing net. How long is the nylon string that is left?
5. Althea is working in a bakeshop. She put two cheesecakes on display. The first cheesecake was cut into 8 slices and there are 5 slices left. The other was cut into 12 slices and there are 4 slices left. How much cheesecake is left.

Answer 1

1. Liezl bought the total amount of meat = 118 / 12 kilograms.

2. Roel travel 3 kilometer.

3. Lan have 83/8 kilograms fruits.

4. Her father left 52 / 7 nylon.

5. The left cheesecake is 9 slices.

What is Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Now,

1. For first condition;

Amount of pork = 2 1/4 kilograms

Amount of chicken = 5 1/2 kilograms

Amount of beef = 1 1/3 kilograms

So, Total meat = 2 1/4 + 5 1/2 + 1 1/3

                      = 9/4 + 11/2 + 4/3

                      = 36/12 + 66/12 + 16/12

                      = 118 / 12

Thus, The total amount of meat = 118 / 12 kilograms.

2. Total distance cover by Roel = 1 1/2 + 1 1/2

                                                = 3/2 + 3/2

                                                = 6/2

                                                = 3 kilometer.

So, Roel travel 3 kilometer.

3. Kenneth and Lan have fruits = 20 kilograms.

Kenneth have fruits = 9 5/8 kilograms.

So, Amount of fruits does Lan have = 20 - 9 5/8

                                                       = 20 - 77/8

                                                       = (160 - 77) / 8

                                                       = 83 / 8 kilograms.

Thus, Lan have 83/8 kilograms fruits.

4. Father have nylon string = 17 3/7 m

And,  He gave 10 m of it for his brother’s fishing net.

So, Left amount of the nylon string = 17 3/7 - 10

                                                      = 122/7 - 10

                                                      = 122 - 70 / 7

                                                      = 52 / 7

Thus, He left 52 / 7 nylon.

5. Since, Althea have left in first cheesecakes = 5 slices

And, In second cheesecakes = 4 slices.

So, Total left cheesecake = 5 + 4

                                       = 9 slices.

Thus, The cheesecake is 9 slices.

Therefore,

1. Liezl bought the total amount of meat = 118 / 12 kilograms.

2. Roel travel 3 kilometer.

3. Lan have 83/8 kilograms fruits.

4. Her father left 52 / 7 nylon.

5. The left cheesecake is 9 slices.

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