Multiply. Write Your Answer As A Fraction, Whole Number, Or Mixed Number.$\frac{1}{3} \times \frac{1}{2} \times 5 =$ $\square$

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**Multiply: A Comprehensive Guide** =====================================

What is Multiplication?

Multiplication is a mathematical operation that involves the repeated addition of a number a certain number of times. It is denoted by the symbol × and is used to find the product of two or more numbers.

The Problem: 13×12×5=\frac{1}{3} \times \frac{1}{2} \times 5 =

To solve this problem, we need to multiply the three numbers together. We can start by multiplying the two fractions, 13\frac{1}{3} and 12\frac{1}{2}.

Multiplying Fractions

When multiplying fractions, we multiply the numerators together and the denominators together.

13×12=1×13×2=16\frac{1}{3} \times \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6}

Multiplying a Fraction by a Whole Number

Now that we have the product of the two fractions, we can multiply it by the whole number 5.

16×5=1×56×1=56\frac{1}{6} \times 5 = \frac{1 \times 5}{6 \times 1} = \frac{5}{6}

The Final Answer

Therefore, the final answer is 56\boxed{\frac{5}{6}}.

Q: What is the rule for multiplying fractions?

A: When multiplying fractions, we multiply the numerators together and the denominators together.

Q: Can you multiply a fraction by a whole number?

A: Yes, when multiplying a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same.

Q: How do you multiply a fraction by a decimal?

A: To multiply a fraction by a decimal, we can convert the decimal to a fraction and then multiply the fractions together.

Q: What is the difference between multiplication and addition?

A: Multiplication is the repeated addition of a number a certain number of times, while addition is the sum of two or more numbers.

Q: Can you multiply a negative number by a positive number?

A: Yes, when multiplying a negative number by a positive number, the result is always negative.

Q: How do you multiply a fraction by a mixed number?

A: To multiply a fraction by a mixed number, we can convert the mixed number to an improper fraction and then multiply the fractions together.

Conclusion

Multiplication is a fundamental mathematical operation that involves the repeated addition of a number a certain number of times. In this article, we have discussed the basics of multiplication, including how to multiply fractions, whole numbers, and decimals. We have also answered some common questions about multiplication and provided examples to illustrate the concepts.

Key Takeaways

  • Multiplication is the repeated addition of a number a certain number of times.
  • When multiplying fractions, we multiply the numerators together and the denominators together.
  • When multiplying a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same.
  • Multiplication is different from addition, and the result of multiplying a negative number by a positive number is always negative.

Further Reading

If you want to learn more about multiplication, we recommend checking out the following resources:

  • Khan Academy: Multiplication
  • Math Is Fun: Multiplication
  • Wikipedia: Multiplication

Practice Problems

Try solving the following problems to practice your multiplication skills:

  • 14×13×6=\frac{1}{4} \times \frac{1}{3} \times 6 =
  • 23×4=\frac{2}{3} \times 4 =
  • 34×12×8=\frac{3}{4} \times \frac{1}{2} \times 8 =