Tina Painted 1/8 Of The Fence In The Morning And Another 3/8 In The Afternoon What Fraction Of The Fence Remain To Be Painted

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The Remaining Fraction of the Fence: A Math Problem

In this article, we will explore a math problem involving fractions. The problem is as follows: Tina painted 1/8 of the fence in the morning and another 3/8 in the afternoon. We need to find out what fraction of the fence remains to be painted.

To solve this problem, we need to understand the concept of fractions and how to add them. A fraction is a way of representing a part of a whole. It consists of a numerator (the number on top) and a denominator (the number on the bottom). In this case, Tina painted 1/8 of the fence in the morning and 3/8 of the fence in the afternoon.

To add fractions, we need to have the same denominator. In this case, the denominator is 8. So, we can add the two fractions by adding the numerators and keeping the denominator the same.

1/8 + 3/8 = (1 + 3)/8 = 4/8

The fraction 4/8 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 8 is 4.

4/8 = (4 ÷ 4)/(8 ÷ 4) = 1/2

Now that we know Tina painted 1/2 of the fence, we need to find out what fraction of the fence remains to be painted. To do this, we can subtract the fraction that was painted from the whole.

1 - 1/2 = (2/2) - (1/2) = 1/2

In conclusion, Tina painted 1/2 of the fence. Therefore, 1/2 of the fence remains to be painted.

This problem may seem simple, but it has real-world applications. For example, if you are painting a fence and you want to know how much paint you need, you need to know what fraction of the fence you have already painted. This problem can help you determine that.

Here are some tips and tricks to help you solve this problem:

  • Make sure to have the same denominator when adding fractions.
  • Simplify the fraction by dividing both the numerator and the denominator by their GCD.
  • Use a diagram or a visual aid to help you understand the problem.

Here are some common mistakes to avoid when solving this problem:

  • Not having the same denominator when adding fractions.
  • Not simplifying the fraction.
  • Not using a diagram or a visual aid to help you understand the problem.

Here are some practice problems to help you practice solving this type of problem:

  • Tom painted 2/5 of the wall in the morning and 1/5 of the wall in the afternoon. What fraction of the wall remains to be painted?
  • Sarah painted 3/4 of the room in the morning and 1/4 of the room in the afternoon. What fraction of the room remains to be painted?

Here are the answers to the practice problems:

  • 2/5
  • 1/2

In conclusion, this problem is a great way to practice solving math problems involving fractions. By following the steps outlined in this article, you can solve this problem and many others like it. Remember to have the same denominator when adding fractions, simplify the fraction, and use a diagram or a visual aid to help you understand the problem.
Frequently Asked Questions: Tina Painted 1/8 of the Fence in the Morning and Another 3/8 in the Afternoon

A: Tina painted 1/8 of the fence in the morning and 3/8 of the fence in the afternoon. To find the total fraction of the fence that Tina painted, we need to add the two fractions together.

1/8 + 3/8 = (1 + 3)/8 = 4/8

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.

4/8 = (4 ÷ 4)/(8 ÷ 4) = 1/2

So, Tina painted 1/2 of the fence in total.

A: To find the fraction of the fence that remains to be painted, we need to subtract the fraction that was painted from the whole.

1 - 1/2 = (2/2) - (1/2) = 1/2

So, 1/2 of the fence remains to be painted.

A: Yes, you can use a different method to solve this problem. One way is to use a diagram or a visual aid to help you understand the problem.

Imagine the fence as a whole, which is represented by the number 1. If Tina painted 1/8 of the fence in the morning, we can represent this as a fraction of the whole.

1/8

If Tina painted 3/8 of the fence in the afternoon, we can represent this as another fraction of the whole.

3/8

To find the total fraction of the fence that Tina painted, we can add the two fractions together.

1/8 + 3/8 = 4/8

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 4.

4/8 = (4 ÷ 4)/(8 ÷ 4) = 1/2

So, Tina painted 1/2 of the fence in total.

A: Yes, you can use a calculator to solve this problem. However, it's always a good idea to understand the math behind the problem and to use a calculator as a tool to check your work.

A: If you have a different denominator, you can still use the same method to solve the problem. For example, if the denominator is 10 instead of 8, you can add the fractions together as follows:

1/10 + 3/10 = (1 + 3)/10 = 4/10

We can simplify this fraction by dividing both the numerator and the denominator by their GCD, which is 2.

4/10 = (4 ÷ 2)/(10 ÷ 2) = 2/5

So, Tina painted 2/5 of the fence in total.

A: Yes, you can use this method to solve other problems involving fractions. The key is to understand the concept of fractions and how to add them together.

In conclusion, this article has provided a step-by-step guide to solving the problem of Tina painting 1/8 of the fence in the morning and another 3/8 in the afternoon. We have also provided answers to frequently asked questions and have discussed different methods for solving the problem.