Directions: Solve each problem. 1) Jared collected 5-kg of old newspapers from his grandfather and 8 kg from their house. How many kilograms of newspapers did he collect in all? 2) Garcia drove her car for 15 km in the morning and 11 km in the afternoon. How 2% many kilometers did she drive in all? 3) Mrs. Isagani weighed 69 kg. After a month she lost 6 kg. What was her weight then? 2 4) 20 litres of cooking oil were poured into 2 bottles. One contained 8 litres while . the other bottle contained 7 litres. How many litres of cooking oil were left? 5) Miggy studied 3 hours on Monday and Tuesday, 2 hours on Wednesday and Thursday and 1 hours on Friday. How many hours did Miggy study from Monday to Friday?
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Answer:
1.
3.
4.
5.
Step-by-step explanation:
ADDITION AND SUBTRACTION OF MIXED NUMBERS
1.)
Step 1: Let us add the whole numbers separately.
= (5 + 8) +
= 13 +
Step 2: To add fractions, we take the Least Common Multiple (LCM) of the "denominators" and change the fractions into similar fractions.
To get the LCM of the denominators, we list all the multiples of 3, and 9.
The least common multiple is 9.
Step 3: Find the sum of the fractions in the simplest form.
= 13 +
= 13 +
= 13 +
= 13 +
=
ANSWER: The total number of collected newspapers is
.
2.)
Step 1: Let us add the whole numbers separately.
= (15 + 11) +
= 26 +
Step 2: Take the Least Common Multiple (LCM) of the "denominators" and change the fractions into similar fractions.
In order to get the LCM of the denominators, we list all the multiples of 3, and 8.
The least common multiple is 24.
Step 3: Find the sum of the fractions in the simplest form.
= 26 +
= 26 +
= 26 +
= 26 +
=
ANSWER: The total number of kilometers drove is
.
3.)
Step 1: We convert mixed numbers into improper fractions.
Step 2: Find the LCM of the denominators.
The least common multiple is 20.
Step 3: Change them into similar fractions.
=
=
=
= 
=
=
ANSWER: The latest weight of Mrs. Isagani is
or 62.65 kilograms.
4.)
To get the liters of cooking oil left, we add first the amount used in two bottles before subtracting it to the initial amount.
Addition of mixed numbers:
Step 1: Let us add the whole numbers separately.
= (8 + 7) +
= 15 +
Step 2: Take the Least Common Multiple (LCM) of the "denominators" and change the fractions into similar fractions. We list all the multiples of 2, and 3.
The least common multiple is 6.
Step 3: Find the sum of the fractions in the simplest form.
= 15 +
= 15 +
= 15 +
= 15 +
=
The total amount used in two bottles is
.
Next, we subtract this from the initial amount.
Subtraction of fractions:
Step 1: We convert mixed numbers into improper fractions.
=
=
= 
=
=
ANSWER: The number of liters left was
.
5.)
To get the total number of hours, we add all the mixed numbers.
Step 1: Let us add the whole numbers separately.
= (3 + 2 + 1) +
= 6 +
Step 2: Take the Least Common Multiple (LCM) of the "denominators" and change the fractions into similar fractions.
In order to get the LCM of the denominators, we list all the multiples of 2, 4, and 5.
The least common multiple is 20.
Step 3: Find the sum of the fractions in the simplest form.
= 6 +
= 6 +
= 6 +
ANSWER: Miggy studied for
hours or 6 hours and 57 minutes.
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Answer:
MAG BASA KA NG MODULE MO HINDI PURO BRAINLY
Step-by-step explanation: