Mathematics is one of the most important subjects that we learn in school. However, for many people, it can be a difficult subject to understand. In this article, we will be discussing how to solve the problem 3 4 plus 3 8 in relaxed English language. By the end of this article, you will have a better understanding of how to solve this problem and how to approach similar problems in the future.
What is 3 4 plus 3 8?
3 4 plus 3 8 is a problem in mathematics that involves adding two fractions together. In this problem, we have two fractions: 3/4 and 3/8. To solve this problem, we need to add these two fractions together. However, before we can do that, we need to make sure that both fractions have the same denominator.
How to Find a Common Denominator
To add two fractions together, we need to have a common denominator. The easiest way to find a common denominator is to multiply the denominators of both fractions together. In this case, the denominators are 4 and 8. So, we need to multiply 4 and 8 to get our common denominator.
4 x 8 = 32
So, our common denominator is 32. Now, we need to convert both of our fractions so that they have a denominator of 32. To do this, we need to multiply both the numerator and denominator of each fraction by the same number.
3/4 x 8/8 = 24/32
3/8 x 4/4 = 12/32
Adding the Fractions Together
Now that both fractions have the same denominator, we can add them together. To do this, we simply add the numerators together and put the sum over the common denominator.
24/32 + 12/32 = 36/32
However, this is an improper fraction. To simplify it, we need to divide both the numerator and denominator by their greatest common factor. In this case, the greatest common factor is 4.
36/4 = 9
32/4 = 8
So, the simplified answer is 9/8.
Practice Problems
Now that we have understood how to solve the problem 3 4 plus 3 8, let's practice a few more problems to solidify our understanding.
Problem 1
What is 2 5 plus 3 10?
To solve this problem, we need to first find a common denominator. The denominators are 5 and 10. So, we need to multiply 5 and 10 to get our common denominator.
5 x 10 = 50
Now, we need to convert both fractions so that they have a denominator of 50.
2/5 x 10/10 = 20/50
3/10 x 5/5 = 15/50
Now, we can add the fractions together.
20/50 + 15/50 = 35/50
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5.
35/5 = 7
50/5 = 10
So, the simplified answer is 7/10.
Problem 2
What is 1 2 plus 2 3?
To solve this problem, we need to first find a common denominator. The denominators are 2 and 3. So, we need to multiply 2 and 3 to get our common denominator.
2 x 3 = 6
Now, we need to convert both fractions so that they have a denominator of 6.
1/2 x 3/3 = 3/6
2/3 x 2/2 = 4/6
Now, we can add the fractions together.
3/6 + 4/6 = 7/6
This fraction is already in its simplest form.
Conclusion
Addition of fractions is an important concept in mathematics. By understanding how to find a common denominator and add fractions together, we can solve problems like 3 4 plus 3 8. With practice, we can become more comfortable with this concept and apply it to more challenging problems in the future.
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