Find $\frac{1}{10}$ Of 60.$\frac{1}{10}$ Of 60 Is $\square$.(Simplify Your Answer. Type A Whole Number, Fraction, Or Mixed Number.)

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Understanding the Problem

To find $\frac{1}{10}$ of 60, we need to understand what this expression means. The phrase "of" indicates multiplication, so we are looking for the product of $\frac{1}{10}$ and 60.

Breaking Down the Problem

We can break down the problem into two steps:

1. Multiply $\frac{1}{10}$ by 60.
2. Simplify the result.

Step 1: Multiply $\frac{1}{10}$ by 60

To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same. In this case, we multiply $\frac{1}{10}$ by 60.

$\frac{1}{10} \times 60 = \frac{1 \times 60}{10} = \frac{60}{10}$

Step 2: Simplify the Result

To simplify the fraction $\frac{60}{10}$, we need to find the greatest common divisor (GCD) of 60 and 10. The GCD of 60 and 10 is 10.

We can simplify the fraction by dividing both the numerator and the denominator by the GCD:

$\frac{60}{10} = \frac{60 \div 10}{10 \div 10} = \frac{6}{1}$

Conclusion

Therefore, $\frac{1}{10}$ of 60 is $\boxed{6}$.

Real-World Applications

This problem has many real-world applications. For example, if you have 60 items and you want to divide them into 10 equal groups, you would need to find $\frac{1}{10}$ of 60. This would give you the number of items in each group.

Practice Problems

Here are a few practice problems to help you understand the concept:

• Find $\frac{1}{5}$ of 50.
• Find $\frac{1}{4}$ of 40.
• Find $\frac{1}{3}$ of 30.

Solutions to Practice Problems

• Find $\frac{1}{5}$ of 50:

$\frac{1}{5} \times 50 = \frac{1 \times 50}{5} = \frac{50}{5} = 10$

• Find $\frac{1}{4}$ of 40:

$\frac{1}{4} \times 40 = \frac{1 \times 40}{4} = \frac{40}{4} = 10$

• Find $\frac{1}{3}$ of 30:

$\frac{1}{3} \times 30 = \frac{1 \times 30}{3} = \frac{30}{3} = 10$

Conclusion

In conclusion, finding $\frac{1}{10}$ of 60 is a simple problem that involves multiplying a fraction by a whole number and simplifying the result. This concept has many real-world applications and can be used to solve a variety of problems.

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Frequently Asked Questions

Q: What is the meaning of "of" in the expression $\frac{1}{10}$ of 60?

A: The phrase "of" indicates multiplication, so we are looking for the product of $\frac{1}{10}$ and 60.

Q: How do I multiply a fraction by a whole number?

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

Q: What is the greatest common divisor (GCD) of 60 and 10?

A: The GCD of 60 and 10 is 10.

Q: How do I simplify a fraction?

A: To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both numbers by the GCD.

Q: What is the result of multiplying $\frac{1}{10}$ by 60?

A: The result of multiplying $\frac{1}{10}$ by 60 is $\frac{60}{10}$.

Q: How do I simplify the fraction $\frac{60}{10}$?

A: We can simplify the fraction $\frac{60}{10}$ by dividing both the numerator and the denominator by the GCD, which is 10.

Q: What is the simplified result of multiplying $\frac{1}{10}$ by 60?

A: The simplified result of multiplying $\frac{1}{10}$ by 60 is $\frac{6}{1}$, which is equal to 6.

Q: What is the real-world application of finding $\frac{1}{10}$ of a number?

A: Finding $\frac{1}{10}$ of a number has many real-world applications, such as dividing a group of items into equal subgroups.

Q: How do I find $\frac{1}{5}$ of 50?

A: To find $\frac{1}{5}$ of 50, we multiply $\frac{1}{5}$ by 50, which gives us $\frac{50}{5}$, and then simplify the fraction to get 10.

Q: How do I find $\frac{1}{4}$ of 40?

A: To find $\frac{1}{4}$ of 40, we multiply $\frac{1}{4}$ by 40, which gives us $\frac{40}{4}$, and then simplify the fraction to get 10.

Q: How do I find $\frac{1}{3}$ of 30?

A: To find $\frac{1}{3}$ of 30, we multiply $\frac{1}{3}$ by 30, which gives us $\frac{30}{3}$, and then simplify the fraction to get 10.

Conclusion

In conclusion, finding $\frac{1}{10}$ of a number is a simple problem that involves multiplying a fraction by a whole number and simplifying the result. This concept has many real-world applications and can be used to solve a variety of problems.