We bet that the first time you ever saw a fraction it intrigued you into solving it. However, it must have been tricky at first because you have to go through the books at the beginning of your semester. As kids, fractions might look a little confusing at first, nonetheless, once you get the trick, you’re good to go. Although, solving questions like 2/3 plus 2/3, 2/3 plus 2/3 in fraction, and 1/3 plus 1/3 might look like something straight from a horror movie. However, we are here to turn this horror movie into something you’re not scared of anymore. So let’s get started!
1. What are Fractions in Math?
Fractions in math basically mean being a little part of something whole. In easy words, when you say that you can get a thing done in just a fraction of a minute, you mean that you can do it in a few seconds. This is because a fraction of a minute is a few seconds. Similarly, when you are talking about fractions in math, you consider some part out of the whole number. It allows you to keep a check on the exact proportion of a whole particular thing, e.g., to divide a six-piece pizza amongst three people, you need fractions. Also, check out what is Three Eighths as a decimal?
2. How do you add Fractions?
Adding fractions might seem difficult at first, however, once you get the hang of it, it becomes easier. There are three types of fractions that you can add, although, it requires different methods. Three types of fractions are proper fractions, improper fractions, and mixed fractions. They are:
- Proper fractions: The most important thing while solving fractions is having the same denominator. Since proper fractions already have the same denominator, all you need to do is add up the numerator and leave the denominator as it is.
- Improper fractions: While solving improper fractions you will see that the denominators of the fractions are different. Before adding the two fractions, you need to make sure that they have the same number in the denominator. To do that you take out the LCM of both the denominators and then, multiply both the numerator and denominator with a number that results in the LCM of both numbers. Now that you have the same denominators, you can add the numerators and get your answer. Furthermore, you can even simplify your answer.
- Mixed fractions: These types of fractions have both a whole number and a fraction in them. First, you must multiply the whole number with the denominator of the fraction and then add the numerator. After this, write the answer as the numerator and the denominator remains the same as before. Next, follow the same steps that you would to add an improper fraction and you will get the answer. (See What is the Very Last Number in the World?)
3. What is 2/3 as a Fraction out of 100? What is 2/3 as a Decimal?
Another question that we might end up asking ourselves before finding the percentage is how to turn a fraction into a decimal. For example, let’s take the fraction 2/3 and convert it into a decimal. The steps are-
- First, you need to divide the numerator with the denominator.
- Once you get the answer, consider the quotient, whichever quotient you get will be in the form of a decimal.
- Hence, on dividing 2 by 3, we get the answer of 0.66…
Answering an easy question like 2/3 plus 2/3 can become difficult if you get confused in the initial steps. To understand what 2/3 is as a fraction out of 100, you need to follow the steps.
- To divide 2/3 as a fraction out of 100 you have to first convert both the numbers into fractions, which will be 2/3 = 0.667
- When a number does not have a denominator, we assume the denominator to be 1. To convert into a percentage, it can be written as 0.667 × 100 = 66.7 %. Also, check out 9 out of 12 is What Percent?
4. What does 2/3 plus 2/3 equal?
2/3 plus 2/3 can either be solved in the form of a decimal or in a fraction. Here, you will attempt to solve this question in decimal form. The steps for the same are-
- First, convert both the fractions into decimals by dividing the numerator with the denominator; i.e, 2/3 plus 2/3 = 0.66+0.66
- Now, add both the numbers and you will get the answer; i.e, 0.66+0.66 = 1.32. (See What is 18/20 as a Percentage?)
5. What is 2/3 plus 2/3 in fraction form?
To solve 2/3 plus 2/3 in fraction form, it can get even easier. The steps are-
- The first step to solving a fraction is to check if the denominators are the same.
- Once the denominators are the same, add up both the numerators and leave the denominator as it is; i.e, 2/3+2/3=4/3.
- Once you get the answer, you can either leave it in the same format or convert it into a mixed fraction if it is an improper fraction; i.e, 4/3 in mixed fractions form is 1 1/3.
6. What does 2/3 plus 2/3 equals in Cups?
You can answer this question in the same way you answered the other questions. 2/3 + 2/3 cups will amount to the same answer as to when the cups were not being used. In easy language, when you add 2/3 + 2/3 cups, you will get the answer as 4/3 cups. (See What Shapes have 4 Sides?)
7. Is Two Thirds more than half? Is 2/3 > 1/2?
To answer this question, it is better if you take help of the following steps-
- First convert both the fractions into decimals; i.e, 2/3=0.66 and 1/2= 0.5.
- Now compare both the decimal values.
- You will find that 0.66 is greater than 0.5.
- Hence, two-thirds or 2/3 is more than a half or 1/2. (See What is a Polygon Shape?)
8. What is 1/3 plus 1/3?
Since we can see that 1/3 plus 1/3 is in the form of a proper fraction, and has the same numerators, we don’t need to take the LCM out. We simply have to add both the numerators (1+1=2) and use the same denominator; i.e, 3. The answer to this question will be 1/3+1/3=2/3. (See How long is 8 inches Compared to an Object?)
9. What is 2/3 plus 1/4?
Here the question tells us that 2/3 plus 1/4 has different dominators. To solve this, you need to first make sure that both the denominators are the same. To do that, follow these steps-
- Take out the LCM of 3 and 4.
- Multiply the denominators with a number that results in the answer of the LCM, i.e 12.
- Once you get the same denominators, add the numerators, 2/3 + 1/4 = (8+3)/12 = 11/12.
After adding the numerators, leave the denominator as it is and you will get the answer which is 11/12. (Also read How many Ounces in a Half Gallon?)