There Are 8 Students In An Art Class. Each Student Uses 3 4 \frac{3}{4} 4 3 Of A Bottle Of Paint. How Many Bottles Of Paint Do They Use In All?A. 24 B. 10 C. 8 D. 6
Understanding the Problem
To solve this problem, we need to multiply the number of students by the amount of paint each student uses. This will give us the total amount of paint used by all the students.
Calculating the Total Amount of Paint Used
We know that there are 8 students in the art class, and each student uses of a bottle of paint. To find the total amount of paint used, we can multiply the number of students by the amount of paint each student uses.
# Define the number of students and the amount of paint each student uses
num_students = 8
paint_per_student = 3/4
total_paint_used = num_students * paint_per_student
Converting the Fraction to a Decimal
To make the calculation easier, we can convert the fraction to a decimal. To do this, we can divide the numerator (3) by the denominator (4).
# Convert the fraction to a decimal
decimal_paint_per_student = paint_per_student
Multiplying the Number of Students by the Amount of Paint Each Student Uses
Now that we have the decimal equivalent of the fraction, we can multiply the number of students by the amount of paint each student uses.
# Multiply the number of students by the amount of paint each student uses
total_paint_used = num_students * decimal_paint_per_student
Calculating the Total Amount of Paint Used
Now that we have the total amount of paint used, we can calculate the answer.
# Calculate the total amount of paint used
total_paint_used = 8 * 0.75
Answer
The total amount of paint used by the 8 students in the art class is 6 bottles.
Conclusion
In this problem, we used multiplication to find the total amount of paint used by 8 students in an art class. We converted the fraction to a decimal and then multiplied the number of students by the amount of paint each student uses. The answer is 6 bottles of paint.
Step-by-Step Solution
- Define the number of students and the amount of paint each student uses.
- Convert the fraction to a decimal.
- Multiply the number of students by the amount of paint each student uses.
- Calculate the total amount of paint used.
Final Answer
The final answer is 6.
Introduction
In the previous article, we solved a problem involving multiplication and fractions. In this article, we will answer some frequently asked questions related to this topic.
Q: What is multiplication?
A: Multiplication is a mathematical operation that involves adding a number a certain number of times. It can be represented by the symbol × or *. For example, 3 × 4 = 12, which means 3 added to itself 4 times.
Q: What is a fraction?
A: A fraction is a way of expressing a part of a whole. It consists of two numbers: a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction that represents one half of a whole.
Q: How do I multiply fractions?
A: To multiply fractions, you simply multiply the numerators together and the denominators together. For example, (1/2) × (3/4) = (1 × 3) / (2 × 4) = 3/8.
Q: What is the difference between multiplication and addition?
A: Multiplication and addition are two different mathematical operations. Multiplication involves adding a number a certain number of times, while addition involves combining two or more numbers.
Q: Can I multiply fractions with different denominators?
A: Yes, you can multiply fractions with different denominators. To do this, you need to find the least common multiple (LCM) of the denominators and then multiply the fractions by the LCM.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you simply divide the numerator by the denominator. For example, 1/2 = 0.5.
Q: Can I multiply fractions with negative numbers?
A: Yes, you can multiply fractions with negative numbers. To do this, you simply multiply the numerators and denominators together, just like you would with positive numbers.
Q: What is the order of operations for multiplication and fractions?
A: The order of operations for multiplication and fractions is:
- Multiply the numerators together
- Multiply the denominators together
- Simplify the fraction (if possible)
Q: Can I use a calculator to multiply fractions?
A: Yes, you can use a calculator to multiply fractions. However, it's always a good idea to understand the concept behind the operation and to check your answer to make sure it's correct.
Conclusion
In this article, we answered some frequently asked questions related to multiplication and fractions. We covered topics such as what multiplication and fractions are, how to multiply fractions, and how to convert fractions to decimals. We also discussed the order of operations for multiplication and fractions and how to use a calculator to multiply fractions.
Step-by-Step Solution
- Understand the concept of multiplication and fractions
- Learn how to multiply fractions
- Learn how to convert fractions to decimals
- Understand the order of operations for multiplication and fractions
- Practice using a calculator to multiply fractions
Final Answer
The final answer is that multiplication and fractions are important mathematical concepts that can be used to solve a wide range of problems. By understanding how to multiply fractions and convert fractions to decimals, you can become more confident and proficient in your math skills.